Abstract
We generalize the works of Lee [Adv. Math. 197 (2005) 554–586] and Gornik [arXiv math.QA/0402266] to construct a basis for generic deformations of the colored –homology defined in [arXiv 1002.2662v2]. As applications, we construct nondegenerate pairings and co-pairings which lead to dualities of generic deformations of the colored –homology. We also define and study colored –Rasmussen invariants. Among other things, we observe that these invariants vanish on amphicheiral knots and discuss some implications of this observation.
Citation
Hao Wu. "Generic deformations of the colored $\mathfrak{sl}(N)$–homology for links." Algebr. Geom. Topol. 11 (4) 2037 - 2106, 2011. https://doi.org/10.2140/agt.2011.11.2037
Information