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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Knot Floer width and Turaev genus
by
Adam Lowrance
Louisiana State University

The width of a bigraded knot homology theory is the maximum distance plus one between slope one diagonals with respect to the bigrading that support the group. The Turaev surface of a knot diagram is obtained by associating a canonical ribbon graph to that diagram. Turaev genus is the minimum genus Turaev surface for all diagrams of the knot. We show that Turaev genus gives a natural bound for width of knot Floer homology.

Paper reference: arXiv:0709.0720

Date received: April 7, 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-31.