Arborescence of positive Thompson links

Abstract

We show that the links associated with positive elements of the Thompson group $F$ coincide with the closures of bipartite arborescent tangles.

arXiv commentAccepted for publication in the Pacific Journal of Math

References in corpus (6)

• A no-go theorem for the continuum limit of a periodic quantum spin chain
• On the Alexander Theorem for the oriented Thompson group $\vec{F}$
• The Homflypt polynomial and the oriented Thompson group
• On spectral measures for certain unitary representations of R. Thompson's group F
• Jones representations of Thompson's group $F$ arising from Temperley-Lieb-Jones algebras
• Positive oriented Thompson links

Cited by in corpus (5)

• On the $3$-colorable subgroup $\mathcal{F}$ and maximal subgroups of Thompson's group $F$
• The $3$-colorable subgroup of Thompson's group and tricolorability of links
• An introduction to Thompson knot theory and to Jones subgroups
• An extension of Krishnan's central limit theorem to the Brown-Thompson groups
• The planar $3$-colorable subgroup $\mathcal{E}$ of Thompson's group $F$ and its even part