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Archivio digitale delle tesi discusse presso l’Università di Pisa

Tesi etd-04072011-101216


Tipo di tesi
Tesi di dottorato di ricerca
Autore
NISOLI, ISAIA
URN
etd-04072011-101216
Titolo
A general approach to Lehmann-Suwa-Khanedani index theorems: partial holomorphic connections and extensions of foliations
Settore scientifico disciplinare
MAT/03
Corso di studi
MATEMATICA
Relatori
tutor Prof. Abate, Marco
Parole chiave
  • Chern classes
  • holomorphic self maps
  • residue theorems
Data inizio appello
12/04/2011
Consultabilità
Completa
Riassunto
This thesis stresses the strong link between the existence of partial holomorphic connections on the normal bundle of a foliation seen as a quotient of the ambient tangent bundle and the extendability of a foliation to an infinitesimal neighborhood of a submanifold. We find some obstructions to extendability and thanks to the theory developed we obtain some new Khanedani-Lehmann-Suwa type index theorems, for foliations and holomorphic self maps.
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