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Knots in Washington XXV dedicated to Herbert Seifert on his 100 birthday. Conference on Knot Theory and its Ramifications
December 7-9, 2007
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Dan Silver (U. South Al.), Hao Wu (GWU)

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The Bar-Natan skein module of the solid torus and the homology of (n, n) Springer varieties
by
Heather Russell
University of Iowa

The Bar-Natan skein module of three-manifolds arose from Bar-Natan’s work with the Khovanov homology of tangles and cobordisms. We will show that the Bar-Natan skein module of the solid torus with boundary curve system 2n copies of the longitude is isomorphic to the total homology of the Springer variety of complete flags in C2n stabilized by a fixed nilpotent operator with two Jordan blocks of size n. In order to do this, we employ techniques found in Khovanov's work with crossingless matchings and the topological space S̃.

Date received: October 24, 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 # cavo-05.