Monodromie et classification topologique de germes de feuilletages holomorphes

Details Monodromie et classification topologique de germes de feuilletages holomorphes Monodromie et classification topologique de germes de feuilletages holomorphes

2010-04-09

arxiv.org/abs/1004.1552v2

Mathematics

Dynamical Systems

corrected references

Scientific paper

We give a complete topological classification of germs of holomorphic foliations in the plane under weak generic conditions. The key point is the introduction of a new topological invariant that we call monodromy representation. This monodromy contains all the relevant dynamical information, in particular the projective holonomy representation whose topological invariance was conjectured in the eighties by Cerveau and Sad and proved here.

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