Litcius/Paper detail

The finiteness conjecture for skein modules

Sam Gunningham, David Jordan, Pavel Safronov

2022Inventiones mathematicae25 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

SkeinMathematicsConjecturePure mathematicsAlgebra over a fieldGeometric and Algebraic TopologyAlgebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic Topology
The finiteness conjecture for skein modules | Litcius