Topology Atlas | Conferences

Knots in Washington XLV
December 8-10, 2017
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


Knotoids, Virtual Knots and Applications
by
Louis H Kauffman
University of Illinois at Chicago
Coauthors: Neslihan Gugumcu, Dimos Goundaroulis, Sofia Lambropoulou

With Neslihan Gugumcu we study invariants of knotoids (open ended knot diagrams

with the endpoints in possibly different regions). These invariants include the bracket

polynomial,the Turaev loop bracket polynomial (for planar knotoids), the arrow

polynomial and a loop arrow polynomial. We discuss properties of these invariants,

and with Dimos Goundaroulis and Sofia Lambropoulou we apply these techniques

to the structure of open ended polymer strings and to protein folding.

Date received: August 30, 2017

Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboj-02.