Topology Atlas | Conferences

Knots in Washington XXIV; Dedicated to the memory of Xiao-Song Lin
April 13-15, 2007
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU and UMD), Yongwu Rong (GWU), Alexander Shumakovitch (GWU)

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Cohomology for Frobenius algebras and applications
by
Masahico Saito
University of South Florida

We investigate possible cohomology theories for Frobenius algebras from two approaches. The first is from point of view of deformations of the compatibility condition of Frobinius algebras between multiplication and comultiplication, following the graph calculus of cohomology for self-distributive morphisms developed earlier for coalgebras and Hopf algebras. The second is an analogue of the categorifications of the bracket and chromatic polynomial, based on 4-valent spatial graphs and smoothings. Possible applications are discussed for knot and manifold invariants and in relation to DNA recombinations of ciliates.

Date received: April 6, 2007

Copyright © 2007 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 # cauq-10.