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Uhlenbeck Compactness
~
Wehrheim, Katrin,
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Uhlenbeck Compactness
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Uhlenbeck Compactness/ Katrin Wehrheim
作者:
Wehrheim, Katrin,
出版者:
Zuerich, Switzerland :European Mathematical Society Publishing House, : 2004,
面頁冊數:
1 online resource (219 pages)
標題:
Functional analysis -
電子資源:
https://doi.org/10.4171/004
電子資源:
https://www.ems-ph.org/img/books/wehrheim_mini.jpg
ISBN:
9783037195048
Uhlenbeck Compactness
Wehrheim, Katrin,
Uhlenbeck Compactness
[electronic resource] /Katrin Wehrheim - Zuerich, Switzerland :European Mathematical Society Publishing House,2004 - 1 online resource (219 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.
Restricted to subscribers:https://www.ems-ph.org/ebooks.php
This book gives a detailed account of the analytic foundations of gauge theory - Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It intends to guide graduate students into the analysis of Yang-Mills theory as well as to serve as a reference for researchers in the field. The book is largely self-contained. It contains a number of appendices (e.g. on Sobolev spaces of maps between manifolds) and an introductory part covering the Lp-regularity theory for the inhomogenous Neumann problem. The two main parts contain the full proofs of Uhlenbeck's weak and strong compactness theorems on closed manifolds as well as their generalizations to manifolds with boundary and noncompact manifolds. These parts include a number of useful analytic tools such as general patching constructions and local slice theorems.
ISBN: 9783037195048
Standard No.: 10.4171/004doiSubjects--Topical Terms:
731345
Functional analysis
Uhlenbeck Compactness
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This book gives a detailed account of the analytic foundations of gauge theory - Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It intends to guide graduate students into the analysis of Yang-Mills theory as well as to serve as a reference for researchers in the field. The book is largely self-contained. It contains a number of appendices (e.g. on Sobolev spaces of maps between manifolds) and an introductory part covering the Lp-regularity theory for the inhomogenous Neumann problem. The two main parts contain the full proofs of Uhlenbeck's weak and strong compactness theorems on closed manifolds as well as their generalizations to manifolds with boundary and noncompact manifolds. These parts include a number of useful analytic tools such as general patching constructions and local slice theorems.
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