Topology Atlas | Conferences

Knots in Washington XXXVI
May 3-5, 2013
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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A special case of the WRT invariant and Khovanov homology
by
Noboru Ito
Waseda Institute for Advanced Study

Setting that the variable of the Kauffman bracket is the 20th root of unity (i.e. the case that r = 5), we show the invariance of a direct sum of Khovanov homology groups under handle slides.  This direct sum is induced by the Jones-Wenzl projector.  This Khovanov homology is given as a categorification of a liner sum of colored Jones polynomials corresponding to the WRT invariant.  We also discuss about a behavior of the Khovanov homology under the first Kirby moves.

Date received: April 13, 2013

Copyright © 2013 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 # cbhe-04.