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Pàgina inicial > Articles > Articles publicats > Topological Moduli Space for Germs of Holomorphic Foliations |
Data: | 2020 |
Resum: | 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. |
Ajuts: | Ministerio de Economía y Competitividad MTM2011-26674-C02-01 Ministerio de Economía y Competitividad MTM2015-66165-P Ministerio de Economía y Competitividad MDM-2014-0445 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Complex dynamical systems ; Singular foliations ; Holonomy ; Topological invariants ; Teichmüller space ; Moduli space ; Non-abelian cohomology |
Publicat a: | International Mathematics Research Notices, Vol. 2020, Issue 23 (November 2020) , p. 9228-9292, ISSN 1687-0247 |
54 p, 1.0 MB |