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Article Dans Une Revue Annali della Scuola Normale Superiore di Pisa Année : 2007

Combinatorial mapping-tori, branched surfaces and free group automorphisms

Résumé

We give a characterization of the geometric automorphisms in a certain class of (not necessarily irreducible) free group automorphisms. When the automorphism is geometric, then it is induced by a pseudo-Anosov homeomorphism without interior singularities. An outer free group automorphism is given by a 1-cocycle of a 2-complex (a standard dynamical branched surface) the fundamental group of which is the mapping-torus group of the automorphism. A combinatorial construction elucidates the link between this new representation and the classical representation of a free group automorphism by a graph-map.
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Dates et versions

hal-00769183 , version 1 (29-12-2012)

Identifiants

  • HAL Id : hal-00769183 , version 1

Citer

François Gautero. Combinatorial mapping-tori, branched surfaces and free group automorphisms. Annali della Scuola Normale Superiore di Pisa, 2007, VI (3), pp.405-440. ⟨hal-00769183⟩
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