The homflypt polynomial and the oriented thompson group

2018

QUANTUM TOPOLOGY

The homflypt polynomial and the oriented thompson group

01 Pubblicazione su rivista

Aiello Valeriano, Conti Roberto, Jones Vaughan F. R.

ISSN: 1663-487X

We show how to construct unitary representations of the oriented Thompson group F from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT polynomial defines a positive definite function of F.

Binary trees Category of forests CFT Group of fractions HOMFLYPT polynomial Knots Mathematical Physics Oriented link invariants Planar algebras Positive definite functions Subfactors Tangles Thompson group F TQFT Unitary representations