The finiteness conjecture for skein modules

By S. Gunningham, D. Jordan, P. Safronov. Inventiones Mathematicae, 2019

81 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/283accf7cbfe3c25c120adc8fac1a4bf410dd819