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Mathematics > Geometric Topology
Title: Thompson's group $F$, tangles, and link homology
(Submitted on 25 Mar 2024)
Abstract: We 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 $n \to\infty$. Using this construction we show that the oriented Thompson group $\vec F$ admits a lax group action on a category of Khovanov's chain complexes.
Submission history
From: Vyacheslav Krushkal [view email][v1] Mon, 25 Mar 2024 15:00:21 GMT (3110kb,D)
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