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Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

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The Khovanov width of closed 3-braids
by
Adam Lowrance
Louisiana State University

Khovanov homology is a bigraded homology theory that categorifies the Jones polynomial. The support of Khovanov homology lies on a finite number of slope 2 lines with respect to the bigrading. Khovanov width is a measure of how many such lines support Khovanov homology. In this talk, I will compute the Khovanov width of closed 3-braids. Also, the proof will be adapted to a similar theory called odd Khovanov homology.

Date received: December 5, 2008

Copyright © 2008 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 # caxq-57.