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Admissible Skein Modules

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arxiv 2302.04493 v1 pith:5YE5OYJK submitted 2023-02-09 math.GT math.QA

Francesco Costantino , Nathan Geer , Bertrand Patureau-Mirand This is my paper · ORCID
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keywords modulesskeinadmissiblealgebraassociatedcategoriescategorycoming
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In this paper we introduce the notion of admissible skein modules associated to an ideal in a pivotal category. We explain how these modules are generalizations of the Kauffman skein algebra and how they relate to renormalized quantum invariants coming from non-semisimple categories.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Construction of Correlators in Finite Rigid Logarithmic Conformal Field Theory

    math.QA 2025-07 conditional novelty 8.0 of 10

    For any non-semisimple modular category, special symmetric Frobenius algebras now give all consistent open-closed correlators, with a holographic description and a Batalin-Vilkovisky structure on local operators.

  2. Reflection Equivariance and the Heisenberg Picture for Spaces of Conformal Blocks

    math.QA 2025-07 accept novelty 7.0 of 10

    Orientation reversal of surfaces corresponds algebraically to the modified trace, and reflection equivariant modular functors are exactly those whose circle category is modular and whose conformal blocks are the uniqu...

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