Geodesic
A local calculus for nullhomotopic filling Dehn spheres
Amendola, Gennaro1
1 Department of Mathematics, University of Salento, Palazzo Fiorini, Via per Arnesano, I-73100 Lecce, Italy
Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 903-933

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2009.9.903
Keywords: 3-manifold, immersed surface, local calculus, invariant, state sum, complexity

Amendola, Gennaro 1

1 Department of Mathematics, University of Salento, Palazzo Fiorini, Via per Arnesano, I-73100 Lecce, Italy 
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Amendola, Gennaro. A local calculus for nullhomotopic filling Dehn spheres. Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 903-933. doi: 10.2140/agt.2009.9.903

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