Annular Links from Thompson's Group $T$
Geometric Topology
2025-11-26 v2
Abstract
In 2014 Jones showed how to associate links in the -sphere to elements of Thompson's group . We provide an analogue of this program for annular links and Thompson's group . The main result is that any edge-signed graph embedded in the annulus is the Tait graph of an annular link built from an element of . In analogy to the work of Aiello and Conti, we also show that the coefficients of certain unitary representations of recover the Jones polynomial of annular links.
Cite
@article{arxiv.2401.12065,
title = {Annular Links from Thompson's Group $T$},
author = {Louisa Liles},
journal= {arXiv preprint arXiv:2401.12065},
year = {2025}
}