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Séminaire de Géométrie

Representation of surface authmorphisms via Tete-a-tete graphs.

Javier FERNANDEZ DE BOBADILLA

( Basque Center for Applied Maths )

Salle 2

le 10 novembre 2017 à 10:45

We use tête-à-tête graphs as defined by N. A'campo and extended versions to codify all periodic mapping classes of an orientable surface with non-empty boundary, improving work of N. A'Campo and C. Graf. We also introduce the notion of mixed tête-à-tête graphs to model some pseudo-periodic homeomorphisms. In particular we are able to codify the monodromy of any irreducible plane curve singularity.