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math.QAFeb 1, 2022
authors
  • Julien Korinman
institutions
  • Waseda University
arXiv abstractPDF
paper

Mapping Class Group Representations Derived from Stated Skein Algebras

arXiv:2202.07649 · doi:10.3842/SIGMA.2022.064

Abstract

We construct finite-dimensional projective representations of the mapping class groups of compact connected oriented surfaces having one boundary component using stated skein algebras.

arXiv commentParts of the exposition of Sections 2-4 already appeared in the author's unpublished survey arXiv:2105.09563

References in corpus (13)

  • Symplectic structures associated to Lie-Poisson groups
  • Combinatorial quantization of the Hamiltonian Chern-Simons theory I
  • Symplectic structure of the moduli space of flat connections on a Riemann surface
  • Combinatorial Quantization of the Hamiltonian Chern-Simons Theory II
  • Two dimensional lattice gauge theory based on a quantum group
  • Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory
  • Excision of Skein Categories and Factorisation Homology
  • Representations of the Kauffman bracket skein algebra II: punctured surfaces
  • Mapping Class Group Representations From Non-Semisimple TQFTs
  • Finite presentations for stated skein algebras and lattice gauge field theory
  • Relating stated skein algebras and internal skein algebras
  • Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors
  • Relating quantum character varieties and skein modules
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