17 citations · 162 across the 31 of their papers we have counts for
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math.GR2016★ 15 cited
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…
math.GR2016★ 10 cited
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…