Louisa Liles

collaborators

3 papers

math.GT2026

Thompson's Group $V$ and Virtual Link Theory

Micah Chrisman, Louisa Liles, Melody Molander

Thompson's groups $F \subset T \subset V$ were introduced in 1965 and have since found widespread application in fields as diverse as logic, group theory, homotopy theory, and latt…

math.GT2024

Thompson's group $F$ , tangles, and link homology

Vyacheslav Krushkal, Louisa Liles, Yangxiao Luo

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 cons…

math.GT2024

Annular Links from Thompson's Group $T$

Louisa Liles

In 2014 Jones showed how to associate links in the $3$ -sphere to elements of Thompson's group $F$ . We provide an analogue of this program for annular links and Thompson's group $T$ …

Thompson's Group V and Virtual Link Theory

Thompson's group F, tangles, and link homology

Annular Links from Thompson's Group T

Thompson's Group $V$ and Virtual Link Theory

Thompson's group $F$ , tangles, and link homology

Annular Links from Thompson's Group $T$