Generic deformations of the colored sl(N)-homology for links

Details Generic deformations of the colored sl(N)-homology for links Generic deformations of the colored sl(N)-homology for links

2010-11-10

arxiv.org/abs/1011.2254v2

Mathematics

Geometric Topology

56 pages, many figures, including some colored ones which are best viewed on a computer screen

Scientific paper

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.

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