On the Quantum Filtration of the Khovanov-rozansky Cohomology
نویسنده
چکیده
We prove the quantum filtration on the Khovanov-Rozansky link cohomology Hp with a general degree (n + 1) monic potential polynomial p(x) is invariant under Reidemeister moves, and construct a spectral sequence converging to Hp that is invariant under Reidemeister moves, whose E1 term is isomorphic to the Khovanov-Rozansky sl(n)-cohomology Hn. Then we define a generalization of the Rasmussen invariant, and study some of its properties. We also discuss relations between upper bounds of the self-linking number of transversal links in standard contact S3.
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