Publications of Peter B. Shalen
Small optimal Margulis numbers force upper volume bounds.
Trans. Amer. Math. Soc.,
365(2):973--999, 2013.
MR2995380
4-free groups and hyperbolic geometry.
J. Topol.,
5(1):81--136, 2012.
MR2897050
Orders of elements in finite quotients of Kleinian groups.
Pacific J. Math.,
256(1):211--234, 2012.
MR2928549
Margulis numbers for Haken manifolds.
Israel J. Math.,
190:445--475, 2012.
MR2956250
Singular surfaces, mod 2 homology, and hyperbolic volume, II.
Topology Appl.,
158(1):118--131, 2011.
MR2734702
A generic Margulis number for hyperbolic 3-manifolds.
In Topology and geometry in dimension three,
pages 103--109. Amer. Math. Soc., Providence, RI, 2011.
MR2866926
Singular surfaces, mod 2 homology, and hyperbolic volume, II.
Topology and Its Applications,
158(1):118--131, 2011.
Singular surfaces, mod 2 homology, and hyperbolic volume. I.
Trans. Amer. Math. Soc.,
362(7):3463--3498, 2010.
MR2601597
Margulis numbers for haken manifolds .
To appear in Israel Journal of Mathematics. Accepted in 2010 .
Incompressible surfaces, hyperbolic volume, Heegaard genus and homology.
Comm. Anal. Geom.,
17(2):155--184, 2009.
MR2520906
Betti numbers and injectivity radii.
Proc. Amer. Math. Soc.,
137(11):3919--3922, 2009.
MR2529901
Volume and topology of bounded and closed hyperbolic 3-manifolds.
Comm. Anal. Geom.,
17(5):797--849, 2009.
MR2643733
Characteristic subsurfaces, character varieties and Dehn fillings.
Geom. Topol.,
12(1):233--297, 2008.
MR2390346
Volume and homology of one-cusped hyperbolic 3-manifolds.
Algebr. Geom. Topol.,
8(1):343--379, 2008.
MR2443232
Characteristic submanifolds, character varieties and dehn filling.
Geom. & Topol.,
12:233-297, 2008.
Hyperbolic volume, Heegaard genus and ranks of groups.
In Workshop on Heegaard Splittings,
pages 335--349. Geom. Topol. Publ., Coventry, 2007.
MR2408254
The diameter of the set of boundary slopes of a knot.
Algebr. Geom. Topol.,
6:1095--1112 (electronic), 2006.
MR2253442
Dehn surgery, homology and hyperbolic volume.
Algebr. Geom. Topol.,
6:2297--2312, 2006.
MR2286027
Characteristic subsurfaces and Dehn filling.
Trans. Amer. Math. Soc.,
357(6):2389--2444 (electronic), 2005.
MR2140444
Knots with only two strict essential surfaces.
In Proceedings of the Casson Fest, volume 7 of Geom. Topol. Monogr.,
pages 335--430 (electronic). Geom. Topol. Publ., Coventry, 2004.
MR2172490
Approximation by maximal cusps in boundaries of deformation spaces of Kleinian groups.
J. Differential Geom.,
64(1):57--109, 2003.
MR2015044
Representations of 3-manifold groups.
In Handbook of geometric topology,
pages 955--1044. North-Holland, Amsterdam, 2002.
MR1886685
Groups of real-analytic diffeomorphisms of the circle.
Ergodic Theory Dynam. Systems,
22(3):835--844, 2002.
MR1908556
Real-analytic, volume-preserving actions of lattices on 4-manifolds.
C. R. Math. Acad. Sci. Paris,
334(11):1011--1014, 2002.
MR1913726
Three-manifolds and Baumslag-Solitar groups.
Topology Appl.,
110(1):113--118, 2001.
MR1804702
Lattice actions, 3-manifolds and homology.
Topology,
39(3):573--587, 2000.
MR1746910
Real-analytic actions of lattices.
Invent. Math.,
135(2):273--296, 1999.
MR1666834
Homeomorphic graph manifolds: a contribution to the $\mu$ constant problem.
Topology Appl.,
99(1):1--39, 1999.
MR1720360
Boundary slopes of knots.
Comment. Math. Helv.,
74(4):530--547, 1999.
MR1730656
Three-manifold topology and the tree for $\rm PSL_ 2$: the Smith conjecture and beyond.
In Algebra, $K$-theory, groups, and education (New York, 1997),
pages 189--209. Amer. Math. Soc., Providence, RI, 1999.
MR1732048
The first Betti number of the smallest closed hyperbolic $3$-manifold.
Topology,
37(4):805--849, 1998.
MR1607748
Volumes of hyperbolic Haken manifolds. II.
Proc. Amer. Math. Soc.,
125(10):3059--3067, 1997.
MR1422858
Free Kleinian groups and volumes of hyperbolic $3$-manifolds.
J. Differential Geom.,
43(4):738--782, 1996.
MR1412683
The volume of a hyperbolic $3$-manifold with Betti number $2$.
Proc. Amer. Math. Soc.,
120(4):1281--1288, 1994.
MR1205485
Plane curves associated to character varieties of $3$-manifolds.
Invent. Math.,
118(1):47--84, 1994.
MR1288467
Volumes of hyperbolic Haken manifolds. I.
Invent. Math.,
118(2):285--329, 1994.
MR1292114
Hyperbolic volume and mod $p$ homology.
Comment. Math. Helv.,
68(3):494--509, 1993.
MR1236766
Paradoxical decompositions, $2$-generator Kleinian groups, and volumes of hyperbolic $3$-manifolds.
J. Amer. Math. Soc.,
5(2):231--288, 1992.
MR1135928
Growth rates, $Z_ p$-homology, and volumes of hyperbolic $3$-manifolds.
Trans. Amer. Math. Soc.,
331(2):895--917, 1992.
MR1156298
Free actions of surface groups on ${\bf R}$-trees.
Topology,
30(2):143--154, 1991.
MR1098910
Cohomological dimension of groups acting on ${\bf R}$-trees.
In Arboreal group theory (Berkeley, CA, 1988),
pages 231--250. Springer, New York, 1991.
MR1105336
Simplicial approximation and low-rank trees.
Comment. Math. Helv.,
66(4):521--540, 1991.
MR1129795
Dendrology and its applications.
In Group theory from a geometrical viewpoint (Trieste, 1990),
pages 543--616. World Sci. Publ., River Edge, NJ, 1991.
MR1170376
Amalgamated products and finitely presented groups.
Comment. Math. Helv.,
65(2):243--254, 1990.
MR1057242
Dendrology of groups in low ${\bf Q}$-ranks.
J. Differential Geom.,
32(3):605--712, 1990.
MR1078160
A remark on finitely presented infinite-dimensional algebras.
Proc. Amer. Math. Soc.,
108(3):633--635, 1990.
MR991690
Groups whose three-generator subgroups are free.
Bull. Austral. Math. Soc.,
40(2):163--174, 1989.
MR1012825
On Ahlfors' finiteness theorem.
Adv. Math.,
76(2):155--169, 1989.
MR1013665
Degenerations of hyperbolic structures. II. Measured laminations in $3$-manifolds.
Ann. of Math. (2),
127(2):403--456, 1988.
MR932305
Degenerations of hyperbolic structures. III. Actions of $3$-manifold groups on trees and Thurston's compactness theorem.
Ann. of Math. (2),
127(3):457--519, 1988.
MR942518
Correction to: ``Dehn surgery on knots'' [Ann. of Math. (2) 125 (1987), no. 2, 237--300; MR0881270 (88a:57026)].
Ann. of Math. (2),
127(3):663, 1988.
MR942524
Dehn surgery on knots.
Ann. of Math. (2),
125(2):237--300, 1987.
MR881270
Generalized triangle groups.
Math. Proc. Cambridge Philos. Soc.,
102(1):25--31, 1987.
MR886432
Affine algebraic sets and some infinite finitely presented groups.
In Essays in group theory,
pages 1--14. Springer, New York, 1987.
MR919827
Dendrology of groups: an introduction.
In Essays in group theory,
pages 265--319. Springer, New York, 1987.
MR919830
Representations of $3$-manifold groups and applications in topology.
In Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986),
pages 607--614. Amer. Math. Soc., Providence, RI, 1987.
MR934262
Dehn surgery on knots.
Bull. Amer. Math. Soc. (N.S.),
13(1):43--45, 1985.
MR788388
An introduction to compactifying spaces of hyperbolic structures by actions on trees.
In Geometry and topology (College Park, Md., 1983/84),
pages 228--240. Springer, Berlin, 1985.
MR827272
Bounded, separating, incompressible surfaces in knot manifolds.
Invent. Math.,
75(3):537--545, 1984.
MR735339
A ``piecewise-linear'' method for triangulating $3$-manifolds.
Adv. in Math.,
52(1):34--80, 1984.
MR742165
The proof in the case of no incompressible surface.
In The Smith conjecture (New York, 1979),
pages 21--36. Academic Press, Orlando, FL, 1984.
MR758463
Valuations, trees, and degenerations of hyperbolic structures. I.
Ann. of Math. (2),
120(3):401--476, 1984.
MR769158
Varieties of group representations and splittings of $3$-manifolds.
Ann. of Math. (2),
117(1):109--146, 1983.
MR683804
Linear groups of finite cohomological dimension.
Invent. Math.,
66(1):89--98, 1982.
MR652648
Linear groups of finite cohomological dimension.
Bull. Amer. Math. Soc. (N.S.),
4(3):339--341, 1981.
MR609046
A torus theorem for regular branched covers of $S^{3}$.
Michigan Math. J.,
28(3):347--358, 1981.
MR629367
Linear representations of certain amalgamated products.
J. Pure Appl. Algebra,
15(2):187--197, 1979.
MR535185
Separating, incompressible surfaces in $3$-manifolds.
Invent. Math.,
52(2):105--126, 1979.
MR536074
Seifert fibered spaces in $3$-manifolds.
In Geometric topology (Proc. Georgia Topology Conf., Athens, Ga., 1977),
pages 91--99. Academic Press, New York, 1979.
MR537728
Seifert fibered spaces in $3$-manifolds.
Mem. Amer. Math. Soc.,
21(220):viii+192, 1979.
MR539411
A new decomposition theorem for irreducible sufficiently-large $3$-manifolds.
In Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2,
pages 71--84. Amer. Math. Soc., Providence, R.I., 1978.
MR520524
A note on real cubic surfaces.
Bull. Calcutta Math. Soc.,
70(6):375--377, 1978.
MR584475
Surface homeomorphisms and periodicity.
Topology,
16(4):347--367, 1977.
MR0464239
Seifert fibered spaces in irreducible, sufficiently-large $3$-manifolds.
Bull. Amer. Math. Soc.,
82(5):765--767, 1976.
MR0415623
Peripheral structure of 3-manifolds.
Invent. Math.,
38(1):55--87, 1976.
MR0428332
Infinitely divisible elements in $3$-manifold groups.
In Knots, groups, and $3$-manifolds (Papers dedicated to the memory of R. H. Fox),
pages 293--335. Ann. of Math. Studies, No. 84. Princeton Univ. Press, Princeton, N.J., 1975.
MR0375280