Index theory, eta forms, and Deligne cohomology / Bunke U. - Providence: AMS, 2009. - vi, 120 p.: ill. - (Memoirs of the American Mathematical Society; Vol.198, N 928) - ISBN 978-0-8218-4284-3; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

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