Publications of Louis Kauffman
Unknotting unknots.
Amer. Math. Monthly,
121(5):379--390, 2014.
MR3193721
Parity biquandles.
In Knots in Poland. III. Part 1,
pages 131--151. Polish Acad. Sci. Inst. Math., Warsaw, 2014.
MR3220479
Parity biquandles.
Fundamenta Mathematica, Banach Center Publications, Vol. 100. 2014.
Unknotting unknots.
Amer. Math. Monthly 121 (2014), no. 5, 379–390. . 2014.
Knot logic and topological quantum computing with majorana fermions.
In Logic and algebraic structures in quantum computing and information,
pages 124 pages. Cambridge University Press, 2014.
Local moves on products of knots.
To appear in Fund. Math. . 2014.
A graphical construction of the sl(3) invariant for virtual knots.
to appear in Quantum Topology. 2014.
Chemlambda, universality and self-multiplication.
To appear in Proceedings of Artificial Life Conference Summer 2014. 2014.
Infinite computations and the generic finite.
To appear in Applied Mathematics and Computation, Elsevier Pub. 2014.
Quantum diagrams and quantum networks.
To appear in Proceedings of Spie Conference, Baltimore, May 2014. 2014.
Scientific essays in honor of H. Pierre Noyes on the occasion of his 90-th birthday.
World Scientific, 2014. 373 pages, Volume 54 in the Series on Knots and Everything edited by L. H. Kauffman.
Non-commutative worlds and classical contraints.
In Scientific essays in honor of H. Pierre Noyes on the occasion of his 90-th birthday,
pages 169-201. World Scientific, 2014.
Virtual knots, volume 51 of Series on Knots and Everything.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013.
MR2986036
Knots and physics, volume 53 of Series on Knots and Everything.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013.
MR3013186
A note on amphicheiral alternating links.
J. Knot Theory Ramifications,
22(1):1250136, 8, 2013.
MR3024020
On the maximum number of colors for links.
J. Knot Theory Ramifications,
22(3):1350013, 19, 2013.
MR3048514
Nodal parity invariants of knotted rigid vertex graphs.
J. Knot Theory Ramifications,
22(4):1340002, 21, 2013.
MR3055553
Reduced relative Tutte, Kauffman bracket and Jones polynomials of virtual link families.
J. Knot Theory Ramifications,
22(4):1340003, 12, 2013.
MR3055554
An affine index polynomial invariant of virtual knots.
J. Knot Theory Ramifications,
22(4):1340007, 30, 2013.
MR3055558
A linking number definition of the affine index polynomial and applications.
J. Knot Theory Ramifications,
22(12):1341004, 30, 2013.
MR3149310
Reduced relative tutte, kauffman bracket and jones polynomials of virtual link families.
J. Knot Theory Ramifications 22 (2013), no. 4, 1340003, 12 pp. . 2013.
Nodal parity invariants of knotted rigid vertex graphs.
J. Knot Theory Ramifications 22 (2013), no. 4, 1340002, 21 pp. . 2013.
Knots and physics - fourth edition - 846 pages..
World Scientific , 2013. This fourth edition is re-editied and it contains a new article on Virtual Knot Theory and Khovanov Homology.
An affine index polynomial invariant of virtual knots.
J. Knot Theory Ramifications 22 (2013), no. 4, 1340007, 30pp. 2013.
A linking number definition of the affine index polynomial and applications.
J. Knot Theory Ramifications 22 (2013), no. 12, 1341004, 30 pp. 2013.
On the maximum number of colors for links.
J. Knot Theory Ramifications,
22(3):19 pages, 2013.
A note on amphicheiral alternating links.
J. Knot Theory Ramifications,
22(1):8 pages, 2013.
Remarks on Khovanov homology and the Potts model.
In Perspectives in analysis, geometry, and topology,
pages 237--262. Birkhäuser/Springer, New York, 2012.
MR2884039
Hard unknots and collapsing tangles.
In Introductory lectures on knot theory,
pages 187--247. World Sci. Publ., Hackensack, NJ, 2012.
MR2885236
Khovanov homology.
In Introductory lectures on knot theory,
pages 248--280. World Sci. Publ., Hackensack, NJ, 2012.
MR2885237
Introductory lectures on knot theory, volume 46 of Series on Knots and Everything.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2012.
MR2885246
Categorical pairs and the indicative shift.
Appl. Math. Comput.,
218(16):7989--8004, 2012.
MR2912723
Emergent braided matter of quantum geometry.
SIGMA Symmetry Integrability Geom. Methods Appl.,
8:Paper 014, 43, 2012.
MR2942825
Following knots down their energy gradients.
Symmetry,
4(2):276--284, 2012.
MR2949130
Control aspects of quantum computing using pure and mixed states.
Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.,
370(1976):4651--4670, 2012.
MR2973612
Introduction to virtual knot theory.
J. Knot Theory Ramifications,
21(13):1240007, 37, 2012.
MR2994594
A categorical model for the virtual braid group.
J. Knot Theory Ramifications,
21(13):1240008, 48, 2012.
MR2994595
Parity, skein polynomials and categorification.
J. Knot Theory Ramifications,
21(13):1240011, 56, 2012.
MR2994598
The Teneva game.
J. Knot Theory Ramifications,
21(14):1250125, 17, 2012.
MR3021763
Following knots down their energy gradients.
In Special issue of Symmetry entitled "Symmetry and Beauty of Knots". Symmetry 2012, 4, 276-284. 2012.
Introductory lectures on knot theory (Lectures presented at ictp trieste).
World Scientific, 2012. Volume 46 in the Series on Knots and Everything.
Khovanov homology.
In Introductory lectures in knot theory,
pages 248-280. World Scientific, 2012.
Hard unknots and collapsing tangles.
In Introductory lectures in knot theory,
pages 187-247. World Scientific, 2012.
Remarks on khovanov homology and the potts model.
In Perspectives in analysis, geometry, and topology: on the occasion of the 60th birthday of oleg viro (Progress in mathematics),
pages 237-262. Birkhäuser/Springer, New York, 2012.
Introduction to virtual knot theory.
JKTR,
Vol. 21(No. 13):37 pages. DOI:10.1142, 2012.
Parity, skein polynomials and categorification.
J. Knot Theory Ramifications,
21(13):56, 2012.
Emergent braided matter of quantum geometry.
SIGMA,
8(014):DOI 10.3842/SIGMA.2012.014, 2012.
A note on amphicheiral alternating links.
JKTR,
Vol. 21(No. 14):8 pages, 2012.
The Teneva game.
JKTR,
Vol. 21(No. 14):17 pages, 2012.
The Russell operator.
Constructivist Foundations,
7(2):112-115, 2012.
Eigenforms, discrete processes and quantum processes.
IOP Science Journal of Physics: Conference Series,
361:doi:10.1088/1742-6596/361/1/012034, 2012. EmerQuM 11: Emergent Quantum Mechanics 2011 (Heinz von Foerster Congress).
A categorical model for the virtual braid group.
JKTR,
Vol. 21(No. 13):48 pages., 2012.
Control aspects of quantum computing using pure and mixed states.
Philosophical Transactions of the Royal Society London Series A,
Vol. 370(No. 1976):pages 4651–4670., 2012.
Quantum algorithms for the jones polynomial and khovanov homology .
In quantum information and computation x - proceedings of spie, volume Vol. 8400 of,
pages 15 pages. Spie, 2012.
A quantum model for the Jones polynomial, Khovanov homology and generalized simplicial homology.
In Cross disciplinary advances in quantum computing,
pages 75--94. Amer. Math. Soc., Providence, RI, 2011.
MR2768794
Oriented quantum algebras and coalgebras, invariants of oriented $1$--$1$ tangles, knots and links.
In Cross disciplinary advances in quantum computing,
pages 95--132. Amer. Math. Soc., Providence, RI, 2011.
MR2768795
Anyonic topological quantum computation and the virtual braid group.
J. Knot Theory Ramifications,
20(1):91--102, 2011.
MR2777017
Topological quantum information, Khovanov homology and the Jones polynomial.
In Topology of algebraic varieties and singularities,
pages 245--264. Amer. Math. Soc., Providence, RI, 2011.
MR2777823
Lower bounds on virtual crossing number and minimal surface genus.
In The mathematics of knots,
pages 31--43. Springer, Heidelberg, 2011.
MR2777846
On two categorifications of the arrow polynomial for virtual knots.
In The mathematics of knots,
pages 95--124. Springer, Heidelberg, 2011.
MR2777848
Obituary: Professor Miki Wadati (1945--2011).
J. Knot Theory Ramifications,
20(10):1485--1486, 2011.
MR2851717
A categorical structure for the virtual braid group.
Comm. Algebra,
39(12):4679--4704, 2011.
MR2863460
Chapter 4 - on two categorifications of the arrow polynomial for virtual knots.
In The mathematics of knots - theory and application, volume 1 of Contributions in Mathematical and Computational Sciences,
pages 95-124. Springer-Verlag, 2011.
Topological quantum information, khovanov homology and the jones polynomial.
In Topology of algebraic varieties and singularities - conference in honor of anatoly libgober's 60th birthday, volume 538 of Contemporary Mathematics,
pages 245-264. American Mathematical Society, 2011.
Topological quantum information, virtual jones polynomials and khovanov homology.
New Journal of Physics,
13(125007):doi:10.1088/1367-2630/13/12/125007, November 2011.
Eigenforms and quantum physics.
Cybernetics and Human Knowing,
Vol. 18(Nox. 3-4):pp. 111-121, 2011.
A categorical structure for the virtual braid group.
Communications in Algebra,
Volume 39(12):4679-4704, 2011.
Quantizing braids and other mathematical structures: the general quantization procedure.
In Quantum information and computation ix, volume 8057 of Proceedings of Spie,
pages 805702-1 -- 805702-14. SPIE, 2011.
Quantizing knots graphs and groups..
In Quantum information and computation ix, volume 80507 of Proceedings of Spie,
pages 80570T-1 -- 80570T-15. SPIE, 2011.
Preface [Proceedings of the conference held in honor of the 60th birthday of Oleg Yanovich Viro].
J. Knot Theory Ramifications,
19(2):v--ix, 2010.
MR2647049
Virtual homotopy.
J. Knot Theory Ramifications,
19(7):935--960, 2010.
MR2673693
Topological quantum information theory.
In Quantum information science and its contributions to mathematics,
pages 103--176. Amer. Math. Soc., Providence, RI, 2010.
MR2762147
Quantum knots and mosaics.
In Quantum information science and its contributions to mathematics,
pages 177--208. Amer. Math. Soc., Providence, RI, 2010.
MR2762148
Quantum knots and lattices, or a blueprint for quantum systems that do rope tricks.
In Quantum information science and its contributions to mathematics,
pages 209--276. Amer. Math. Soc., Providence, RI, 2010.
MR2762149
Quantum algorithms for the jones polynomial.
In Quantum information and computation viii - spie proceedings april 2010, volume 7702 of Proceedings of SPIE,
pages 770203-1 to 770203-11. SPIE, 2010.
Reflexivity and foundations of physics.
In Search for fundamental theory - the vii-th interenational symposium honoring french mathematical physicist jean-pierre vigier, AIP Conference Proceedings,
pages 48-89. American Institute of Physics, 2010.
Knots and physics.
In Applications of knot theory,
pages 81--120. Amer. Math. Soc., Providence, RI, 2009.
MR2508729
Preface [Workshop on Invariants in Low Dimensional Topology, Vol. 1].
J. Knot Theory Ramifications,
18(6):v--ix, 2009.
MR2542692
Determinants of rational knots.
Discrete Math. Theor. Comput. Sci.,
11(2):111--122, 2009.
MR2549442
Particle topology, braids, and braided belts.
J. Math. Phys.,
50(11):113505, 16, 2009.
MR2567211
Preface [Workshop on Invariants in Low Dimensional Topology, Vol. II].
J. Knot Theory Ramifications,
18(10):v--ix, 2009.
MR2583798
Virtual crossing number and the arrow polynomial.
J. Knot Theory Ramifications,
18(10):1335--1357, 2009.
MR2583800
An extended bracket polynomial for virtual knots and links.
J. Knot Theory Ramifications,
18(10):1369--1422, 2009.
MR2583802
Lectures on topological fluid mechanics, volume 1973 of Lecture Notes in Mathematics.
Springer-Verlag, Berlin, 2009.
MR2742580
Topology and quantum computing.
In Entanglement and decoherence,
pages 87--156. Springer, Berlin, 2009.
MR2743634
Tangles, rational knots and DNA.
In Lectures on topological fluid mechanics,
pages 99--138. Springer, Berlin, 2009.
MR2762377
Reflexivity and eigenform: the shape of process.
Constructivist Foundations,
4(23):121-137, 2009.
On the minimum number of colors for knots.
Adv. in Appl. Math.,
40(1):36--53, 2008.
MR2380844
Lune-free knot graphs.
J. Knot Theory Ramifications,
17(1):55--74, 2008.
MR2395980
Topological-like features in diagrammatical quantum circuits.
Quantum Inf. Process.,
7(1):3--32, 2008.
MR2399592
A polynomial invariant for flat virtual links.
J. Knot Theory Ramifications,
17(5):521--528, 2008.
MR2420021
Quantum knots and mosaics.
Quantum Inf. Process.,
7(2-3):85--115, 2008.
MR2420814
Quantum hidden subgroup algorithms: an algorithmic toolkit.
In Mathematics of quantum computation and quantum technology,
pages 3--46. Chapman & Hall/CRC, Boca Raton, FL, 2008.
MR2422217
Quantum computing and quantum topology.
In Mathematics of quantum computation and quantum technology,
pages 409--514. Chapman & Hall/CRC, Boca Raton, FL, 2008.
MR2422230
Mathematics of quantum computation and quantum technology, Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series.
Chapman & Hall/CRC, Boca Raton, FL, 2008.
MR2431194
Invariants of welded virtual knots via crossed module invariants of knotted surfaces.
Compos. Math.,
144(4):1046--1080, 2008.
MR2441256
The Fibonacci model and the Temperley-Lieb algebra.
Internat. J. Modern Phys. B,
22(29):5065--5080, 2008.
MR2478554
Berry phase in Yang-Baxter approach related to entangled states and the Yang-Baxterization of braid relation for two-state anyon model.
In Topology and physics,
pages 107--121. World Sci. Publ., Hackensack, NJ, 2008.
MR2503393
Unitary representations of the Artin braid groups and quantum algorithms for colored Jones polynomials and the Witten-Reshetikhin invariant.
In Topology and physics,
pages 172--194. World Sci. Publ., Hackensack, NJ, 2008.
MR2503396
Spin networks and quantum computation.
Bulg. J. Phys.,
35(4):241--256, 2008.
MR2518186
Topological quantum computing and su(2) braid group representations.
``Quantum Information and Quantum Computation VI", Proceedings of Spie, March 2008,edited by E.J. Donkor, A.R. Pirich and H.E. Brandt, Intl Soc. Opt. Eng. 2008.
The fibonacci model and the temperley-lieb algebra..
International J. Modern Phys. B, Vol. 22, No. 29 (2008), 5065-5080. 2008.
Quantum topology and quantum computing.
In Mathematics of quantum computation and quantum technology,
pages 409 - 504. Chapman and Hall/CRC Applied Mathematics and Nonlinear Science Series , 2008.
Spin networks and quantum computation.
In "lie theory and its applications in physics - proceedings of the vii international workshop, varna, bulgaria 18-24 june 2007",
pages 225-239. Heron Press Science Series , 2008.
Differential geometry in non-commutative worlds.
In Quantum gravity,
pages 61--75. Birkhäuser, Basel, 2007.
MR2298384
Comments about Louis H. Kauffman: the story of Lou Kauffman and the positronic brain.
J. Knot Theory Ramifications,
16(3):v--vi, 2007.
MR2320155
$q$-deformed spin networks, knot polynomials and anyonic topological quantum computation.
J. Knot Theory Ramifications,
16(3):267--332, 2007.
MR2320158
Unknots and DNA.
In Current developments in mathematical biology,
pages 39--68. World Sci. Publ., Hackensack, NJ, 2007.
MR2325191
Intelligence of low dimensional topology 2006, volume 40 of Series on Knots and Everything.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007.
MR2352790
State models for knot polynomials---an introduction.
J. Knot Theory Ramifications,
16(7):899--928, 2007.
MR2354267
Quantum topology and quantum information.
In Intelligence of low dimensional topology 2006,
pages 123--131. World Sci. Publ., Hackensack, NJ, 2007.
MR2371717
The $L$-move and virtual braids.
In Intelligence of low dimensional topology 2006,
pages 133--142. World Sci. Publ., Hackensack, NJ, 2007.
MR2371718
Biquandles for virtual knots.
J. Knot Theory Ramifications,
16(10):1361--1382, 2007.
MR2384830
Pendulum traced curves and damped oscillations in the plane.
J. Knot Theory Ramifications,
16(10):1451--1457, 2007.
MR2384835
Hopf algebras and generalizations, volume 441 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 2007.
MR2385183
Spin networks, quantum topology and quantum computation.
In Logic, language, information and computation,
pages 248--263. Springer, Berlin, 2007.
MR2406232
Is Grover's algorithm a quantum hidden subgroup algorithm?.
Quantum Inf. Process.,
6(6):461--476, 2007.
MR2442530
A three-stranded quantum algorithm for the jones polynonmial, in ``quantum information and quantum computation v", proceedings of spie, april 2007, edited by e.j.donkor, a.r.pirich and h.e. brandt,.
pp. 65730T1-17, Intl Soc. Opt. Eng. . 2007.
Spin networks and anyonic topological computing ii, ``quantum information and quantum computation v", proceedings of spie, april 2007, edited by e.j. donkor, a.r. pirich and h.e. brandt.
pp. 64730U1-13, Volume 6573, Intl. Soc. Opt. Eng. (2007). 2007.
Topological-like features in diagrammatical quantum circuits.
Quant.Inf.Proc.7:3-32,2008. 2007.
Intelligence of low dimensional topology 2006 - series on knots and everything, number 40.
World Scientific Publishing Company, 2007. Papers from the International Conference held at Hiroshima University, Hiroshima,July 22--26, 2006.
Knot theory and a physical state of quantum gravity.
Classical Quantum Gravity,
23(4):R63--R90, 2006.
MR2205471
Geometry, language and strategy, volume 37 of Series on Knots and Everything.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2006.
MR2222153
Virtual braids and the $L$-move.
J. Knot Theory Ramifications,
15(6):773--811, 2006.
MR2253835
Virtual knots and links.
Tr. Mat. Inst. Steklova,
252(Geom. Topol., Diskret. Geom. i Teor. Mnozh.):114--133, 2006.
MR2255973
Glafka-2004: non-commutative worlds.
Internat. J. Theoret. Phys.,
45(8):1443--1470, 2006.
MR2270578
Preface [Selected papers from Knots in Washington XX. Part 2].
J. Knot Theory Ramifications,
15(8):v, 2006.
MR2275089
Unknots and molecular biology.
Milan J. Math.,
74:227--263, 2006.
MR2278735
Topology and quantum information.
In Differential geometry and physics,
pages 273--282. World Sci. Publ., Hackensack, NJ, 2006.
MR2327171
From tangle fractions to dna, proceedings of the international workshop and seminar on topology in condensed matter physics, dresden, 16-23 june 2002..
2006.
Spin networks and anyonic topological computing.
In ``Quantum Information and Quantum Computation IV,
6244:1--12, 2006.
Formal knot theory.
Dover Publications, 2006. Reprinting of expanded edition of book originally published by Princeton University Press (1983).
Kernel of the variation operator and periodicity of open books.
Topology Appl.,
148(1-3):183--200, 2005.
MR2118964
Minimal surface representations of virtual knots and links.
Algebr. Geom. Topol.,
5:509--535 (electronic), 2005.
MR2153118
A continuous variable Shor algorithm.
In Coding theory and quantum computing,
pages 97--108. Amer. Math. Soc., Providence, RI, 2005.
MR2170801
Knot diagrammatics.
In Handbook of knot theory,
pages 233--318. Elsevier B. V., Amsterdam, 2005.
MR2179264
Reformulating the map color theorem.
Discrete Math.,
302(1-3):145--172, 2005.
MR2179641
The mathematics and physics of knots.
Rep. Progr. Phys.,
68(12):2829--2857, 2005.
MR2187074
Yang-Baxterizations, universal quantum gates and Hamiltonians.
Quantum Inf. Process.,
4(3):159--197, 2005.
MR2187341
Virtual biquandles.
Fund. Math.,
188:103--146, 2005.
MR2191942
Virtual knot theory---unsolved problems.
Fund. Math.,
188:293--323, 2005.
MR2191949
Virtual knot diagrams and the Witten-Reshetikhin-Turaev invariant.
J. Knot Theory Ramifications,
14(8):1045--1075, 2005.
MR2196647
Minimal flat knotted ribbons.
In Physical and numerical models in knot theory,
pages 495--506. World Sci. Publ., Singapore, 2005.
MR2197954
Knots.
In Geometries of nature, living systems and human cognition,
pages 131--202. World Sci. Publ., Hackensack, NJ, 2005.
MR2202267
Teleportation topology.
Optics and Spectroscopy,
9:227--232, 2005.
Universal quantum gate, yang-baxterization and hamiltonian.
International Journal of Quantum Information,
3(4):669-678, 2005.
On the classification of rational tangles.
Adv. in Appl. Math.,
33(2):199--237, 2004.
MR2074397
Biquandles and virtual links.
Topology Appl.,
145(1-3):157--175, 2004.
MR2100870
Non-commutative worlds.
New J. Phys.,
6:173.1--173.47 (electronic), 2004.
MR2115189
Vassiliev invariants and functional integration without integration.
In Stochastic analysis and mathematical physics (SAMP/ANESTOC 2002),
pages 91--114. World Sci. Publ., River Edge, NJ, 2004.
MR2115931
Biologic. II.
In Woods Hole mathematics,
pages 94--132. World Sci. Publ., Hackensack, NJ, 2004.
MR2123368
A self-linking invariant of virtual knots.
Fund. Math.,
184:135--158, 2004.
MR2128048
Virtual braids.
Fund. Math.,
184:159--186, 2004.
MR2128049
Fibonacci form and beyond.
Forma,
19(4):315--334 (electronic), 2004.
MR2171710
Braiding operators are universal quantum gates.
New Journal of Physics,
6:1--39, 2004.
Non-commutative worlds (Quant-ph/0403012).
New Journal of Physics,
6:--, 2004.
Quantum hidden subgroup algorithms - the devil is in the details.
In Proceedings of spie (2004),
pages 137-141. Intl. Soc. Opt. Eng., 2004.
Quantum knots.
In Quantum information and computation ii -- proceedings of spie, 12 -14 april 2004,
pages 268-284. Intl. Soc. Opt. Eng., 2004.
Infinite families of links with trivial Jones polynomial.
Topology,
42(1):155--169, 2003.
MR1928648
Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links.
In Diagrammatic morphisms and applications (San Francisco, CA, 2000),
pages 113--140. Amer. Math. Soc., Providence, RI, 2003.
MR1973514
Quantum invariants of templates.
J. Knot Theory Ramifications,
12(5):653--681, 2003.
MR1999637
On filamentations and virtual knots.
Topology Appl.,
134(1):23--52, 2003.
MR2005847
On the classification of rational knots.
Enseign. Math. (2),
49(3-4):357--410, 2003.
MR2028021
Temperley-Lieb algebras and the four-color theorem.
Combinatorica,
23(4):653--667, 2003.
MR2046828
Continuous quantum hidden subgroup algroithms .
In Quantum information and computation - spie proceedings, 21-22 april, 2003, volume 5105 of,
pages pp. 51--58.. Intl. Soc. Opt. Eng., 2003.
Knots 2000 Korea. Vol. 1.
World Scientific Publishing Co. Pte. Ltd., Singapore, 2002.
MR1905684
Knots 2000 Korea. Vol. 2.
World Scientific Publishing Co. Pte. Ltd., Singapore, 2002.
MR1915489
Hypercomplex iterations, volume 17 of Series on Knots and Everything.
World Scientific Publishing Co. Inc., River Edge, NJ, 2002. Distance estimation and higher dimensional fractals, With 1 CD-ROM (Windows, Macintosh).
MR1922600
Quantum topology and quantum computing.
In Quantum computation: a grand mathematical challenge for the twenty-first century and the millennium (Washington, DC, 2000),
pages 273--303. Amer. Math. Soc., Providence, RI, 2002.
MR1922903
Knots 2000 Korea. Vol. 3.
World Scientific Publishing Co. Pte. Ltd., Singapore, 2002.
MR1942428
Quantum computing and the Jones polynomial.
In Quantum computation and information (Washington, DC, 2000),
pages 101--137. Amer. Math. Soc., Providence, RI, 2002.
MR1947335
Quantum hidden subgroup algorithms: a mathematical perspective.
In Quantum computation and information (Washington, DC, 2000),
pages 139--202. Amer. Math. Soc., Providence, RI, 2002.
MR1947336
Classifying and applying rational knots and rational tangles.
In Physical knots: knotting, linking, and folding geometric objects in $\mathbb R^ 3$ (Las Vegas, NV, 2001),
pages 223--259. Amer. Math. Soc., Providence, RI, 2002.
MR1953344
Biologic.
In Physical knots: knotting, linking, and folding geometric objects in $\mathbb R^ 3$ (Las Vegas, NV, 2001),
pages 313--340. Amer. Math. Soc., Providence, RI, 2002.
MR1953348
Quantum entanglement and topological entanglement.
New J. Phys.,
4:73.1--73.18 (electronic), 2002.
MR1963025
Time, imaginary value, paradox, sign and space.
In Computing anticipatory systems (Liège, 2001),
pages 146--159. Amer. Inst. Phys., Melville, NY, 2002.
MR2009018
Mathematical bios.
Kybernetes,
31:1418--1428, 2002.
The brasilian knot trick, in ``puzzlers' tribute" edited by david wolfe and tom rogers, a. k. peters pub..
A. K. Peters, 2002.
On the map theorem.
Discrete Math.,
229(1-3):171--184, 2001.
MR1815605
Functional integration, Kontsevich integral and formal integration.
J. Korean Math. Soc.,
38(2):437--468, 2001.
MR1817630
Knots in Hellas '98. Vol. 2.
World Scientific Publishing Co. Pte. Ltd., Singapore, 2001.
MR1822488
Knots in the Hellas '98. Vol. 3.
World Scientific Publishing Co. Pte. Ltd., Singapore, 2001.
MR1839692
Knots and physics, volume 1 of Series on Knots and Everything.
World Scientific Publishing Co. Inc., River Edge, NJ, 2001.
MR1858113
Oriented quantum algebras, categories and invariants of knots and links.
J. Knot Theory Ramifications,
10(7):1047--1084, 2001.
MR1867109
Vassiliev invariants and functional integration.
In Fluctuating paths and fields,
pages 157--170. World Sci. Publ., River Edge, NJ, 2001.
MR1868083
Oriented quantum algebras and invariants of knots and links.
J. Algebra,
246(1):253--291, 2001.
MR1872620
Detecting virtual knots.
Atti Sem. Mat. Fis. Univ. Modena,
49(suppl.):241--282, 2001. Dedicated to the memory of Professor M. Pezzana (Italian).
MR1881100
An introduction to knot theory.
In An introduction to the geometry and topology of fluid flows (Cambridge, 2000),
pages 77--104. Kluwer Acad. Publ., Dordrecht, 2001.
MR1999082
Knots and physics.
World Scientific, 2001. Third Edition of book published originally in 1991.
A separation result for quantum coalgebras with an application to pointed quantum coalgebras of small dimension.
J. Algebra,
225(1):162--200, 2000.
MR1743656
Knot theory and the heuristics of functional integration.
Phys. A,
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