We provide a local calculus for the presentation of closed 3-manifolds via nullhomotopic filling Dehn spheres. We use it to define an invariant of closed 3-manifolds by applying the state-sum machinery, and we show how to potentially get lower bounds for the Matveev complexity of P²-irreducible closed 3-manifolds. We also describe an efficient and simple algorithm for constructing a nullhomotopic filling Dehn sphere of each closed 3-manifold from any of its one-vertex triangulations.
Amendola, G. (2009). A local calculus for nullhomotopic filling Dehn spheres. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 9(2), 903-933 [10.2140/agt.2009.9.903].
A local calculus for nullhomotopic filling Dehn spheres
AMENDOLA, GENNARO
2009
Abstract
We provide a local calculus for the presentation of closed 3-manifolds via nullhomotopic filling Dehn spheres. We use it to define an invariant of closed 3-manifolds by applying the state-sum machinery, and we show how to potentially get lower bounds for the Matveev complexity of P²-irreducible closed 3-manifolds. We also describe an efficient and simple algorithm for constructing a nullhomotopic filling Dehn sphere of each closed 3-manifold from any of its one-vertex triangulations.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
