Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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The Khovanov-Rozansky concordance invariants
Lukas Lewark
Durham University, UK
Coauthors: Andrew Lobb

The Khovanov-Rozansky homologies induce a family of knot concordance invariants

that give strong lower bounds to the slice genus,

and wedge themselves between the smooth and the topological category.

First of these Khovanov-Rozansky concordance invariants is the Rasmussen invariant,

but we will see many others, which can be distinguished using spectral sequences.

Geometrical applications will be discussed.

Date received: January 7, 2014

Copyright © 2014 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 # cbid-21.