Stated skein algebras of surfaces

DOI10.4171/JEMS/1167MaRDI QIDQ2098193

Francesco Costantino, Le Ty Kuok Tkhang

Publication date: 17 November 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11400

zbMATH Keywords

TQFTKauffman bracket skein module

Mathematics Subject Classification ID

2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (12)

Unrestricted quantum moduli algebras. I: The case of punctured spheres ⋮ Relating stated skein algebras and internal skein algebras ⋮ Mapping class group representations derived from stated skein algebras ⋮ \(\mathscr{A} = \mathscr{U}\) for cluster algebras from moduli spaces of \(G\)-local systems ⋮ Quantum traces for \(\operatorname{SL}_n (\mathbb{C})\): the case \(n = 3\) ⋮ Skein and cluster algebras of unpunctured surfaces for \({\mathfrak{sl}}_3\) ⋮ Finite presentations for stated skein algebras and lattice gauge field theory ⋮ Adequate links in thickened surfaces and the generalized Tait conjectures ⋮ Triangular decomposition of \(\mathrm{SL}_3\) skein algebras ⋮ Tropical Fock–Goncharov coordinates for -webs on surfaces I: construction ⋮ The finiteness conjecture for skein modules ⋮ \(\mathrm{SL}_2\) quantum trace in quantum Teichmüller theory via writhe

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