The finiteness conjecture for skein modules
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.
Citation
Gunningham, S., Jordan, D., & Safronov, P. (2022). The finiteness conjecture for skein modules. Inventiones mathematicae, 1-63.
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