Sl(N) link homology using foams and the Kapustin-Li formula
Geometric Topology
2014-11-11 v3 Quantum Algebra
Abstract
We use foams to give a topological construction of a rational link homology categorifying the slN link invariant, for N>3. To evaluate closed foams we use the Kapustin-Li formula adapted to foams by Khovanov and Rozansky. We show that for any link our homology is isomorphic to Khovanov and Rozansky's.
Keywords
Cite
@article{arxiv.0708.2228,
title = {Sl(N) link homology using foams and the Kapustin-Li formula},
author = {Marco Mackaay and Marko Stosic and Pedro Vaz},
journal= {arXiv preprint arXiv:0708.2228},
year = {2014}
}
Comments
The Kapustin-Li formula has been corrected for facets with non-zero genus and its normalization and some signs have been changed accordingly. 43 pages, lots of figures