The Homflypt polynomial and the oriented Thompson group
classification
🧮 math.GR
math.GTmath.OAmath.RT
keywords
orientedgrouphomflyptpolynomialthompsonconstructdefinesdefinite
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We show how to construct unitary representations of the oriented Thompson group $\vec{F}$ from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT polynomial defines a positive definite function of $\vec{F}$.
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