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On colored link homologies

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HTLW03 - Physics and knot homologies

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, as well as a study of their deformations and stability properties. I will finish by discussing some implications for colored, triply-graded HOMFLY -PT homologies, including an exponential growth property conjectured by Gorsky, Gukov and Stosic.

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

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