Abstract/Details

Holomorphic Banach bundles over compact manifolds


2008 2008

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Abstract (summary)

This thesis is motivated by Grothendieck’s splitting theorem. In the 1960s, Gohberg generalized this to a class of Banach bundles. We consider a compact complex manifold X and a holomorphic Banach bundle EX that is a compact perturbation of a trivial bundle in a sense recently introduced by Lempert. We prove that E splits into the sum of a finite rank bundle and a trivial bundle, provided H1( X,[special characters omitted]) = 0.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Banach bundles; Compact manifolds; Holomorphic Banach bundles
Title
Holomorphic Banach bundles over compact manifolds
Author
Kim, Jaehong
Number of pages
39
Publication year
2008
Degree date
2008
School code
0183
Source
DAI-B 70/01, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Lempert, Laszlo
Committee member
Bell, Steven; Catlin, David; Matsuki, Kenji
University/institution
Purdue University
Department
Mathematics
University location
United States -- Indiana
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3344025
ProQuest document ID
304501666
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304501666
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