The finiteness conjecture for skein modules

Sam Gunningham, David Jordan, Pavel Safronov

Research output: Working paper


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.
Original languageEnglish
Number of pages38
Publication statusPublished - 4 Sep 2019


  • 57K31 Invariants of 3-manifolds (also skein modules; character varieties)
  • 17B37 Quantum groups (quantized enveloping algebras) and related deformations


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