Topology Atlas | Conferences

Knots in Washington XLVII
January 20-21, 2019
George Washington University
Washington, DC, United States

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

Conference Homepage


Colored quantum annular Khovanov homology
by
Stephan Wehrli
Syracuse University
Coauthors: A. Beliakova, M. Hogancamp, and K. Putyra

I will explain how to quantize the annular version of Khovanov homology that was defined by Asaeda-Przytycki-Sikora. The resulting quantized theory is strictly functorial and carries an action of quantum sl(2). Moreover, in the quantized annular setting, the Cooper-Krushkal complex categorifying the colored Jones polynomial becomes finite and homotopic to the nonreduced colored Khovanov complex.

Date received: December 3, 2018

Copyright © 2018 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 # cbpq-20.