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The finiteness conjecture for skein modules

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arxiv 1908.05233 v4 pith:MEYERCA5 submitted 2019-08-14 math.QA math.GTmath.RT

Sam Gunningham , David Jordan , Pavel Safronov This is my paper · ORCID
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keywords modulesskeinclosedconjecturemanifoldsaffirmativealgebraicallyapplication
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We give a new, algebraically computable formula for skein modules of closed 3-manifolds via Heegaard splittings. As an application, we prove that skein modules of closed 3-manifolds are finite-dimensional, resolving in the affirmative a conjecture of Witten.

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  1. Parabolic skein modules

    math.QA 2025-05 conditional novelty 7.0 of 10

    Parabolic defect skein theory yields a new, triangulation-based definition and computation of the quantum A-ideal of knots, matching known classical limits.

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