Topology Atlas | Conferences

Knots in Washington XXVI Interconnections between Khovanov, Khovanov-Rozansky and Ozvath-Szabo homology, categorification of skein modules
April 18-20, 2008
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Turaev surfaces and the determinant of a knot
by
Oliver Dasbach
Louisiana State University

Turaev constructed to each knot diagram an oriented surface on which the knot projects alternatingly. The Jones polynomial can now be computed from the Bollobas-Riordan-Tutte polynomial of one of the two checkerboard graphs of the knot projection on this surface. In particular the determinant of the knot has an appealing interpretation in this setting.

Date received: April 8, 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 # cawt-34.