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.
|Annales Scientifiques de l'Ecole Normale Superieure
|Published - 1 Jan 2012