An introduction to Thompson knot theory and to Jones subgroups

Abstract

We review a constructions of knots from elements of the Thompson groups due to Vaughan Jones, which comes in two flavours: oriented and unoriented.

arXiv commentTo appear in a Special Issue of JKTR dedicated to Vaughan Jones

References in corpus (13)

• A no-go theorem for the continuum limit of a periodic quantum spin chain
• Conjugacy and Dynamics in Thompson's Groups
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• The Homflypt polynomial and the oriented Thompson group
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• The generation problem in Thompson group $F$
• Finite index subgroups of R. Thompson's group F
• The Jones polynomial and functions of positive type on the oriented Jones-Thompson groups $\vec{F}$ and $\vec{T}$
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• Arborescence of positive Thompson links
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• On the oriented Thompson subgroup ${\vec{F}}_3$ and its relatives in higher Brown-Thompson groups

Cited by in corpus (1)

• The planar $3$-colorable subgroup $\mathcal{E}$ of Thompson's group $F$ and its even part