2016
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Title: Some differentials on colored Khovanov-Rozansky link homology Abstract: I will start by introducing the family of colored Khovanov-Rozansky sl(N) and HOMFLY-PT link homologies, which categorify the Reshetikhin-Turaev sl(N) link invariants and their large N limits. The members of this large family of invariants are related through spectral sequences from which additional topological information can be extracted, for example in the form of Rasmussen-type concordance invariants. The focus of this talk is on some new spectral sequences which lead to proofs of physical conjectures about the structure of colored HOMFLY-PT homology. This builds on joint work with David E. V. Rose and earlier work of Jake Rasmussen. |