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.

Accepted for publication in the Pacific Journal of Math

References in corpus (1)

• 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