The Homflypt polynomial and the oriented Thompson group

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

doi:10.4171/qt/112

JournalsqtVol. 9, No. 3pp. 461–472

The Homflypt polynomial and the oriented Thompson group

Valeriano Aiello
Vanderbilt University, Nashville, USA
- MathSciNet
- zbMATH Open
Roberto Conti
Università di Roma La Sapienza, Italy
Vaughan F. R. Jones
Vanderbilt University, Nashville, USA
- MathSciNet
- zbMATH Open

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Abstract

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 $F$ .

Cite this article

Valeriano Aiello, Roberto Conti, Vaughan F. R. Jones, The Homflypt polynomial and the oriented Thompson group. Quantum Topol. 9 (2018), no. 3, pp. 461–472

DOI 10.4171/QT/112