Contents
Chapter 1. 1
1.1. Introduction 1
1.2. Further remarks 11
Chapter 2. Index theory for families with corners 13
2.1. Dirac operators on manifolds with corners 13
2.2. Geometric families 49
Chapter 3. Analytic obstruction theory 67
3.1. The filtration of K-theory and related obstructions 67
3.2. Localization over the base 76
3.3. Resolutions 87
Chapter 4. Deligne cohomology valued index theory 99
4.1. Deligne cohomology valued index theory 99
4.2. Examples 108
Bibliography 115
Index 117
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