02319nam 22004575a 450 991015193900332120091109150325.03-03719-504-510.4171/004(CKB)3710000000953785(CH-001817-3)4-091109(PPN)178152811(EXLCZ)99371000000095378520091109j20040131 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierUhlenbeck Compactness[electronic resource] /Katrin WehrheimZuerich, Switzerland European Mathematical Society Publishing House20041 online resource (219 pages)EMS Series of Lectures in Mathematics (ELM) ;2523-5176This 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.Functional analysisbicsscGlobal analysis, analysis on manifoldsmscPartial differential equationsmscFunctional analysismscQuantum theorymscFunctional analysisGlobal analysis, analysis on manifoldsPartial differential equationsFunctional analysisQuantum theory58-xx35-xx46-xx81-xxmscWehrheim Katrin482208ch0018173BOOK9910151939003321Uhlenbeck compactness277428UNINA