21 citations · 281 across the 42 of their papers we have counts for
4 papers · 1 filter
Jones representations of Thompson's group arising from Temperley-Lieb-Jones algebras
Valeriano Aiello, Arnaud Brothier, Roberto Conti
Following a procedure due to V. Jones, using suitably normalized elements in a Temperley-Lieb-Jones (planar) algebra we introduce a 3-parametric family of unitary representations o…
The Homflypt polynomial and the oriented Thompson group
Valeriano Aiello, Roberto Conti, Vaughan F. R. Jones
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…
The Jones polynomial and functions of positive type on the oriented Jones-Thompson groups and
Valeriano Aiello, Roberto Conti
The pioneering work of Jones and Kauffman unveiled a fruitful relationship between statistical mechanics and knot theory. Recently, Jones introduced two subgroups and $\v…
Graph polynomials and link invariants as positive type functions on Thompson's group F
Valeriano Aiello, Roberto Conti
In a recent paper Jones introduced a correspondence between elements of the Thompson group and certain graphs/links. It follows from his work that several polynomial invariants…