Thesis etd-04072011-101216 |
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Thesis type
Tesi di dottorato di ricerca
Author
NISOLI, ISAIA
URN
etd-04072011-101216
Thesis title
A general approach to Lehmann-Suwa-Khanedani index theorems: partial holomorphic
connections and extensions of foliations
Academic discipline
MAT/03
Course of study
MATEMATICA
Supervisors
tutor Prof. Abate, Marco
Keywords
- Chern classes
- holomorphic self maps
- residue theorems
Graduation session start date
12/04/2011
Availability
Full
Summary
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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