Krushkal V, Liles L, Luo Y. Thompson's group F, tangles, and link homology. arXiv:2403.16838. 2024.
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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.