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Quantum character varieties

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arxiv 2309.06543 v1 pith:4EWYLAFO submitted 2023-09-12 math.QA math-phmath.GTmath.MP

David Jordan This is my paper · ORCID
classification math.QAmath-phmath.GTmath.MP
keywords characterquantumvarietiesapproachesarticleconstructiondifferentedition
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In this survey article for the Encyclopedia of Mathematical Physics, 2nd Edition, I give an introduction to quantum character varieties and quantum character stacks, with an emphasis on the unification between four different approaches to their construction.

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Cited by 1 Pith paper

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  1. On the structure and representations of quantum graph algebras at roots of unity

    math.QA 2026-01 accept novelty 7.0 of 10

    Root-of-unity quantum graph algebras have irreducible representations of maximal dimension l^{g·dim(g)+n·N}, and their small-quantum-group invariants have maximal dimension l^{g·dim(g)+N(n−1)−m}, with centers describe...

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