Uhlenbeck Compactness
Katrin Wehrheim
MIT, Cambridge, USA
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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 | |
| 1 | -Theorypp. 19–31 |
| 2 | -Theorypp. 33–41 |
| 3 | Inhomogeneous Boundary Conditionspp. 43–51 |
| 4 | Sections of Vector Bundlespp. 53–74 |
| Part II Weak Compactnessp. 75 | |
| 5 | Regularity for 1-Formspp. 77–90 |
| 6 | Uhlenbeck Gaugepp. 91–106 |
| 7 | Patchingpp. 107–121 |
| Part III Strong Compactnessp. 123 | |
| 8 | Local Slice Theoremspp. 125–140 |
| 9 | Yang-Mills Connectionspp. 141–152 |
| 10 | Proof of Strong Compactnesspp. 153–162 |
| Part IV Appendixp. 163 | |
| A | Gauge Theorypp. 165–178 |
| B | Sobolev Spacespp. 179–191 |
| C | -Multipliers, Mollifiers, and Poisson Kernelspp. 193–200 |
| D | The Dirichlet Problempp. 201–202 |
| E | Some Functional Analysispp. 203–205 |
| List of Symbolspp. 207–208 | |
| Indexpp. 209–210 | |
| Bibliographypp. 211–212 |