The finiteness conjecture for skein modules
Quantum Algebra
2022-12-21 v4 Geometric Topology
Representation Theory
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.
Cite
@article{arxiv.1908.05233,
title = {The finiteness conjecture for skein modules},
author = {Sam Gunningham and David Jordan and Pavel Safronov},
journal= {arXiv preprint arXiv:1908.05233},
year = {2022}
}
Comments
39 pages; final published version