Quantum Topology Seminar
Eleni Panagiotou
Department of Mathematics and SimCenter, University of Tennessee at Chattahooga.
Entanglement of Open Curves
Abstract: Open curves in space can entangle and even tie knots, a situation that arises in many physical systems of filaments. To measure entanglement of open curves it is natural to look for measures of complexity in the study of knots and links. In this talk we will see how the Gauss linking integral can be applied to open curves and also show that the information it captures is useful in our understanding of polymer mechanics and dynamics. In this talk we will also seek stronger measures of entanglement of open curves and provide a framework within which knot and link polynomials can be rigorously defined for open curves in 3-space. In particular, we will define the Jones polynomial of open curves in 3-space and discuss some of its properties.
See
https://arxiv.org/pdf/2001.01303.pdf
and
https://arxiv.org/search/?query=Eleni+Panagiotou&searchtype=all&source=header
Thursday July 9, 2020 at 3:00 PM in Zoom