Thompson's group F, tangles, and link homology

Slava Krushkal (University of Virginia)

Wednesday 19th June 16:00-17:00 Maths 311B

Abstract

I will discuss recent joint work with L. Liles and Y. Luo, showing how to extend a construction of Jones to associate (n, n)-tangles with elements of Thompson's group F and prove that it is asymptotically faithful as n approaches infinity. Using this construction we show that the oriented Thompson group admits a lax group action on a category of Khovanov's chain complexes.

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