HOMFLY-PT and Alexander polynomials from a doubled Schur algebra

  • Hoel Queffelec

    Université de Montpellier, France
  • Antonio Sartori

    Albert-Ludwigs-Universität Freiburg, Germany
HOMFLY-PT and Alexander polynomials from a doubled Schur algebra cover
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Abstract

We define a generalization of the Schur algebra which gives a unified setting for a quantum group presentation of the HOMFLY-PT polynomial, together with its specializations to the Alexander polynomial and to the slm\mathfrak {sl}_m Reshetikhin–Turaev invariant.

Cite this article

Hoel Queffelec, Antonio Sartori, HOMFLY-PT and Alexander polynomials from a doubled Schur algebra. Quantum Topol. 9 (2018), no. 2, pp. 323–347

DOI 10.4171/QT/109