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Low-Dimensional Topology

Low-Dimensional Session #3 #2

Subevent of Low-Dimensional Session #3

Central Time (US & Canada)

Thompson's Groups, Annular Links, and Tangles | Louisa Liles

Starts at: 2025-08-12 03:00PM

Ends at: 2025-08-12 03:25PM

Thompson's Groups, Annular Links, and Tangles

Louisa Liles ⟨lml2tb@virginia.edu⟩

Abstract:

Vaughan Jones showed how to associate links in the 3-sphere to elements of Thompson’s group F and proved that F gives rise to all link types. This talk will introduce Jones’s construction and discuss two recent extensions– the first is a method of building annular links from Thompson’s group T, which contains F as a subgroup, and the second is a method of building (n,n)-tangles, which give rise to an action of F on Khovanov’s chain complexes. This talk includes joint work with Slava Kruskhal and Yangxiao Luo.

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