Topology Atlas | Conferences

Knots in Washington XXXIII; Categorification of Knots, Algebras, and Quandles; Quantum Computing
December 2-4, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


Vassiliev Invariants of Virtual Framed and Virtual Legendrian Knots
by
Asa Levi
Dartmouth College
Coauthors: Patricia Cahn

We introduce virtual framed and virtual Legendrian knots. We then construct an isomorphism between the groups of Vassiliev invariants of virtual Legendrian knots and of virtual framed knots in the total space of the spherical cotangent bundle of a surface. This is philosophically related to the previous results of Fuchs-Tabachnikov, Goryunov, Hill and Chernov about isomorphisms of groups of Vassiliev invariants of (nonvirtual) Legendrian and topological knots.

Date received: November 11, 2011

Copyright © 2011 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 # cbdt-17.