Admissible Skein Modules
Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand
TL;DR
This paper introduces admissible skein modules linked to ideals in pivotal categories, generalizing Kauffman skein algebra and connecting to renormalized quantum invariants from non-semisimple categories.
Contribution
It defines admissible skein modules in a broad categorical context, extending existing skein algebra frameworks and relating them to advanced quantum invariants.
Findings
Admissible skein modules generalize Kauffman skein algebra.
They relate to renormalized quantum invariants from non-semisimple categories.
The framework broadens the understanding of skein modules in quantum topology.
Abstract
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Logic, programming, and type systems