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

Hao Wu

doi:10.2140/agt.2011.11.2037

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arXiv · 1011.2254

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

Hao Wu

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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.

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Hao Wu. 2011-05-17. Generic deformations of the colored sl(N)-homology for links. https://doi.org/10.2140/agt.2011.11.2037

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