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The finiteness conjecture for skein modules

Gunningham, Sam; Jordan, David; Safronov, Pavel (2021). The finiteness conjecture for skein modules. ArXiv.org 1908.05233, Cornell University.

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.

Additional indexing

Item Type:Working Paper
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:340 Law
610 Medicine & health
510 Mathematics
Language:English
Date:2021
Deposited On:12 Jan 2022 12:57
Last Modified:22 Sep 2023 13:09
Series Name:ArXiv.org
Number of Pages:38
ISSN:2331-8422
OA Status:Green
Official URL:https://arxiv.org/abs/1908.05233
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