Deformations of colored sl(N) link homologies via foams
Geometric Topology
2019-03-20 v1 Quantum Algebra
Abstract
We generalize results of Lee, Gornik and Wu on the structure of deformed colored sl(N) link homologies to the case of non-generic deformations. To this end, we use foam technology to give a completely combinatorial construction of Wu's deformed colored sl(N) link homologies. By studying the underlying deformed higher representation theoretic structures and generalizing the Karoubi envelope approach of Bar-Natan and Morrison we explicitly compute the deformed invariants in terms of undeformed type A link homologies of lower rank and color.
Keywords
Cite
@article{arxiv.1501.02567,
title = {Deformations of colored sl(N) link homologies via foams},
author = {David E. V. Rose and Paul Wedrich},
journal= {arXiv preprint arXiv:1501.02567},
year = {2019}
}
Comments
64 pages, many figures