Uhlenbeck Compactness

  • Katrin Wehrheim

    MIT, Cambrigde, USA
Uhlenbeck Compactness cover
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FrontmatterDownload pp. i–iv
PrefaceDownload p. v
ContentsDownload p. vii
IntroductionDownload pp. 1–13
Part I The Neumann Problemp. 15
Introduction - The Neumann Problempp. 17–18
1L2L^2-Theorypp. 19–31
2LpL^p-Theorypp. 33–41
3Inhomogeneous Boundary Conditionspp. 43–51
4Sections of Vector Bundlespp. 53–74
Part II Weak Compactnessp. 75
5Regularity for 1-Formspp. 77–90
6Uhlenbeck Gaugepp. 91–106
7Patchingpp. 107–121
Part III Strong Compactnessp. 123
8Local Slice Theoremspp. 125–140
9Yang-Mills Connectionspp. 141–152
10Proof of Strong Compactnesspp. 153–162
Part IV Appendixp. 163
AGauge Theorypp. 165–178
BSobolev Spacespp. 179–191
CLpL^p-Multipliers, Mollifiers, and Poisson Kernelspp. 193–200
DThe Dirichlet Problempp. 201–202
ESome Functional Analysispp. 203–205
List of Symbolspp. 207–208
Indexpp. 209–210
Bibliographypp. 211–212