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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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Clock moves and a combinatorial homology
by
Yongwu Rong
George Washington University
Coauthors: Kerry Luse

This talk is motivated by an attempt to construct the combinatorial Floer homology via clock moves. For each link diagram, we construct graded homology groups using Kauffman's state sum and clock moves for the Alexander polynomial. While these groups are sometimes invariant under Reidemeister moves, they are, unfortunately, not always invariant under these moves. Nonetheless, we have a graded homology theory for link diagrams which yields the Alexander polynomial when taking graded Euler characteristic. This is joint work with Kerry Luse.

Date received: December 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 # cavo-19.