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)

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Signs in totally twisted Khovanov homology
by
Andrew Manion
Princeton University

Recently, Lawrence Roberts constructed a 'totally twisted' variant of (delta-graded) Khovanov homology with coefficients modulo 2. His construction admits a spanning-tree model with an explicit differential. For knots, Jaeger showed that the totally twisted homology agrees with the standard Khovanov homology.

I will review the constructions of Roberts and Jaeger. Then I will describe how to add signs, resulting in a totally twisted theory over the integers which agrees with odd Khovanov homology for knots.

Date received: November 2, 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-14.