The Homflypt polynomial and the oriented Thompson group
Valeriano Aiello
Vanderbilt University, Nashville, USARoberto Conti
Università di Roma La Sapienza, ItalyVaughan F. R. Jones
Vanderbilt University, Nashville, USA
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Abstract
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 polynomial defines a positive definite function of .
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