JournalsqtVol. 9 , No. 3pp. 461–472

The Homflypt polynomial and the oriented Thompson group

  • Valeriano Aiello

    Vanderbilt University, Nashville, USA
  • Roberto Conti

    Università di Roma La Sapienza, Italy
  • Vaughan F. R. Jones

    Vanderbilt University, Nashville, USA
The Homflypt polynomial and the oriented Thompson group cover
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Abstract

We show how to construct unitary representations of the oriented Thompson group F\vec F from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT polynomial defines a positive definite function of F\vec 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