Generic deformations of the colored sl(N)-homology for links
arXiv:1011.2254 · doi:10.2140/agt.2011.11.2037
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.
56 pages, many figures, including some colored ones which are best viewed on a computer screen
References in corpus (7)
- A colored sl(N)-homology for links in S^3
- Some differentials on Khovanov-Rozansky homology
- Virtual crossings, convolutions and a categorification of the SO(2N) Kauffman polynomial
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Cited by in corpus (10)
- New Quantum Obstructions to Sliceness
- Deformations of colored sl(N) link homologies via foams
- Generic deformations of the colored sl(N)-homology for links
- Minimal braid representatives of quasipositive links
- A hitchhiker's guide to Khovanov homology
- Colored Morton-Franks-Williams inequalities
- Colored sl(N) link homology via matrix factorizations
- On the Kauffman-Vogel and the Murakami-Ohtsuki-Yamada Graph Polynomials
- Equivariant Khovanov-Rozansky Homology and Lee-Gornik Spectral Sequence
- An elementary construction of Khovanov-Rozansky type link homology