The finiteness conjecture for skein modules

Sam Gunningham; David Jordan; Pavel Safronov

doi:10.1007/s00222-022-01167-0

The finiteness conjecture for skein modules

Sam Gunningham, David Jordan, Pavel Safronov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	301-363
Journal	Inventiones mathematicae
Volume	232
Early online date	8 Dec 2022
DOIs	https://doi.org/10.1007/s00222-022-01167-0
Publication status	Published - 30 Apr 2023

Keywords / Materials (for Non-textual outputs)

57K31 Invariants of 3-manifolds (also skein modules; character varieties)
17B37 Quantum groups (quantized enveloping algebras) and related deformations

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10.1007/s00222-022-01167-0

1908.05233Accepted author manuscript, 1.65 MB

https://arxiv.org/abs/1908.05233

Pavel Safronov
- School of Mathematics - Reader
Person: Academic: Research Active

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KW - 17B37 Quantum groups (quantized enveloping algebras) and related deformations

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The finiteness conjecture for skein modules

Abstract

Keywords / Materials (for Non-textual outputs)

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Pavel Safronov

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