Thompson's group F, tangles, and link homology

Krushkal V, Liles L, Luo Y. Thompson’s group F, tangles, and link homology. arXiv:2403.16838. 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. Using this construction we show that the oriented Thompson group F admits a lax group action on a category of Khovanov's chain complexes.

Last updated on 03/25/2024