Topology Atlas | Conferences

Knots in Washington XXXV
December 7-9, 2012
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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Foams and sl(n) tangle cohomology
by
Carmen Caprau
California State University, Fresno

We construct an integer cohomology theory for oriented tangles via a special type of dotted foams and 4-valent webs, which, for the case of links, yields a categorification of the quantum sl(n) link invariant (for n > 3). Our construction is closely related to a rank n Frobenius extension and its associated 2-dimensional TQFT with dots, and provides efficient computations of the resulting invariant for tangles.

Date received: October 27, 2012

Copyright © 2012 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 # cbfw-13.