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Invariants of Closed 3-Manifolds via Nullhomotopic Filling Dehn Spheres

Invariants of Closed 3-Manifolds via Nullhomotopic Filling Dehn Spheres

We provide a calculus for the presentation of closed 3-manifolds via nullhomotopic filling Dehn spheres and we use it to define an invariant of closed 3-manifolds by applying the state-sum machinery. As a potential application of this invariant, we show how to get lower bounds for the Matveev complexity of …