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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)

Conference Homepage


Khovanov Homology of Links Embedded in I-bundles
by
Jeffrey Boerner
University of Iowa

M. Asaeda, J. Przytycki and A. Sikora introduced a theory for links embedded in I-bundles. A new way to view their theory is introduced for I-bundles over orientable surfaces. The elements of the chain groups are surfaces rather than diagrams which gives the calculation of the theory a much more topological feel. This is done by borrowing ideas from D. Bar-Natan’s work involving Khovanov Homology for tangles and cobordisms.

Date received: October 20, 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-03.