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math.GTMay 20, 2021
authors
  • Julien Korinman
arXiv abstractPDF
paper

Stated skein algebras and their representations

arXiv:2105.09563

Abstract

This is a survey on stated skein algebras and their representations.

References in corpus (21)

  • 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
  • Wall-Crossing in Coupled 2d-4d Systems
  • Two dimensional lattice gauge theory based on a quantum group
  • Integrating quantum groups over surfaces
  • Some remarks on the unrolled quantum group of sl(2)
  • Quantum Teichmüller spaces and quantum trace map
  • Skein algebras and cluster algebras of marked surfaces
  • Non-Semisimple Quantum Invariants and TQFTs from Small and Unrolled Quantum Goups
  • Excision of Skein Categories and Factorisation Homology
  • Non-Semisimple Extended Topological Quantum Field Theories
  • Classical shadows of stated skein representations at roots of unity
  • The finiteness conjecture for skein modules
  • Finite presentations for stated skein algebras and lattice gauge field theory
  • Dimension and Trace of the Kauffman Bracket Skein Algebra
  • Triangular decomposition of SL3​ skein algebras
  • Algebraic generators of the skein algebra of a surface
  • Non semi-simple TQFTs from unrolled quantum sl(2)
  • Quantum holonomic link invariants derived from stated skein algebras
  • Representations of the Kauffamn skein algebra of small surfaces
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