Abstract
This work deals with the topological classification of germs of singular foliations on (ℂ2,0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices, and the projective holonomy representations and we compute the moduli space of topological classes in terms of the cohomology of a new algebraic object that we call group-graph. This moduli space may be an infinite-dimensional functional space but under generic conditions we prove that it has finite dimension and we describe its algebraic and topological structure.
Original language | American English |
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Pages (from-to) | 9228-9292 |
Number of pages | 65 |
Journal | International Mathematics Research Notices |
Volume | 2020 |
Issue number | 23 |
DOIs | |
Publication status | Published - 1 Nov 2020 |