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On colored link homologies

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HTLW04 - Quantum topology and categorified representation theory

I will talk about recent progress in understanding the structure of type A link homologies. This includes the definition of integral, equivariant, colored sl(N) Khovanov-Rozansky link homologies, which are functorial under link cobordisms, a study of their deformations and stability properties and the question of how these invariants extend to links in thickened surfaces. 

Joint work with M. Ehrig, H. Queffelec, D. Rose and D. Tubbenhauer.

This talk is part of the Isaac Newton Institute Seminar Series series.

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