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Knots in Washington XLVI: 70th Birthday of Oleg Viro;
May 4-6, 2018
George Washington University,
Washington, DC, USA

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

Conference Homepage


On odd torsion in even Khovanov homology
by
Sujoy Mukherjee

Khovanov homology, an invariant of knots and links, is a categorification of the Jones polynomial. Z2 torsion in the Khovanov homology of knots and links is very common. In this talk, I will first discuss the recent developments regarding non-Z2 torsion in Khovanov homology. In particular, I will provide examples of links with large even torsion and counterexamples to parts of the PS braid conjecture. I will conclude with examples of knots and links with large odd torsion (e. g. Z27) in their Khovanov homology. Part of this is joint work with Przytycki, Silvero, Wang, and Yang.

Date received: April 30, 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 # cboy-40.