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.
|Number of pages||38|
|Publication status||Published - 4 Sep 2019|
- 57K31 Invariants of 3-manifolds (also skein modules; character varieties)
- 17B37 Quantum groups (quantized enveloping algebras) and related deformations