Azumaya loci of skein algebras

Azumaya loci of skein algebras

We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd roots of unity and provide partial results for open surfaces as well. As applications, we give an alternative definition of the projective representations of the Torelli groups derived from non-semisimple TQFTs...

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Veröffentlicht in:arXiv.org 2024-01
Hauptverfasser: Karuo, Hiroaki, Korinman, Julien
Format: Artikel
Sprache:eng
Schlagworte:
Skeins
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Zusammenfassung:We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd roots of unity and provide partial results for open surfaces as well. As applications, we give an alternative definition of the projective representations of the Torelli groups derived from non-semisimple TQFTs and we strengthen a result by Frohman-Kania Bartoszynska-Lê about the dimensions of some quotients of the skein modules of closed 3-manifolds.
ISSN:2331-8422