The Homflypt polynomial and the oriented Thompson group
Group Theory
2018-07-13 v2 Geometric Topology
Operator Algebras
Representation Theory
Abstract
We show how to construct unitary representations of the oriented Thompson group from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT polynomial defines a positive definite function of .
Cite
@article{arxiv.1609.02484,
title = {The Homflypt polynomial and the oriented Thompson group},
author = {Valeriano Aiello and Roberto Conti and Vaughan F. R. Jones},
journal= {arXiv preprint arXiv:1609.02484},
year = {2018}
}
Comments
To appear in Quantum Topology