Generic deformations of the colored sl(N)-homology for links
Geometric Topology
2015-03-17 v2
Abstract
We generalize the works of Lee [arXiv:math/0210213v3] and Gornik [arXiv:math/0402266v2] to construct a basis for generic deformations of the colored sl(N)-homology defined in [arXiv:1002.2662v1]. As applications, we construct non-degenerate pairings and co-pairings which lead to dualities of generic deformations of the colored sl(N)-homology. We also define and study colored sl(N)-Rasmussen invariants. Among other things, we observe that these invariants vanish on amphicheiral knots and discuss some implications of this observation.
Cite
@article{arxiv.1011.2254,
title = {Generic deformations of the colored sl(N)-homology for links},
author = {Hao Wu},
journal= {arXiv preprint arXiv:1011.2254},
year = {2015}
}
Comments
56 pages, many figures, including some colored ones which are best viewed on a computer screen