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# Michael Willis : The Khovanov homology of infinite braids

In this talk, I will show that the limiting Khovanov chain complex of any inﬁnite positive braid categoriﬁes the Jones-Wenzl projector, extending Lev Rozansky's work with inﬁnite torus braids. I will also show a similar result for the limiting Lipshitz-Sarkar-Khovanov homotopy types of the closures of such braids. Extensions to more general inﬁnite braids will also be considered. This is joint work with Gabriel Islambouli.

**Category**: Geometry and Topology**Duration**: 01:34:20**Date**: March 3, 2017 at 3:10 PM**Views**: 114-
**Tags:**seminar, Triangle Topology Seminar

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