Monodromy and topological classification of germs of holomorphic foliations

David Marín, Jean François Mattei

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10 Citations (Scopus)

Abstract

We give a complete topological classification of germs of holomorphic foliations in the plane under rather generic conditions. The key point is the introduction of a new topological invariant called monodromy representation. This monodromy contains all the relevant dynamical information, in particular the projective holonomy representations whose topological inv ariance was conjectured in the eighties by Cerveau and Sad and is proved here under mild hypotheses. © 2012 Socié;té Math?matique de France.
Original languageEnglish
Pages (from-to)405-445
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume45
Issue number3
DOIs
Publication statusPublished - 1 Jan 2012

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