ETD system

Electronic theses and dissertations repository

 

Tesi etd-04072011-101216


Thesis type
Tesi di dottorato di ricerca
Author
NISOLI, ISAIA
URN
etd-04072011-101216
Title
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
Commissione
tutor Prof. Abate, Marco
Parole chiave
  • residue theorems
  • Chern classes
  • holomorphic self maps
Data inizio appello
12/04/2011;
Consultabilità
completa
Riassunto analitico
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.
File