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100   $a20091109j20040131  fy             0
101 0 $aeng
135   $aurnn|mmmmamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aUhlenbeck Compactness$b[electronic resource] /$fKatrin Wehrheim
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2004
215   $a1 online resource (219 pages)
225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176
330   $aThis 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.
606   $aFunctional analysis$2bicssc
606   $aGlobal analysis, analysis on manifolds$2msc
606   $aPartial differential equations$2msc
606   $aFunctional analysis$2msc
606   $aQuantum theory$2msc
615 07$aFunctional analysis
615 07$aGlobal analysis, analysis on manifolds
615 07$aPartial differential equations
615 07$aFunctional analysis
615 07$aQuantum theory
686   $a58-xx$a35-xx$a46-xx$a81-xx$2msc
700   $aWehrheim$b Katrin$0482208
801  0$bch0018173
906   $aBOOK
912   $a9910151939003321
996   $aUhlenbeck compactness$9277428
997   $aUNINA