Elliptic Operators, Topology, and Asymptotic Methods
2nd Edition
Published on 19. December 2013
209 pages
978-1-4822-4783-1 (ISBN)
Description
Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important exampl
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Series
Edition
2nd edition
Language
English
Place of publication
Philadelphia, PA
United States
Publishing group
Taylor & Francis Inc
Target group
Professional and scholarly
ISBN-13
978-1-4822-4783-1 (9781482247831)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
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08/2017
2nd Edition
CRC Press
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01/1999
2nd Edition
Longman
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Content
Chapter 1. Resume of Riemannian geometry, Chapter 2. Connections, curvature, and characteristic classes, Chapter 3. Clifford algebras and Dirac operators, Chapter 4. The Spin groups, Chapter 5. Analytic properties of Dirac operators, Chapter 6. Hodge theory, Chapter 7. The heat and wave equations, Chapter 8. Traces and eigenvalue asymptotics, Chapter 9. Some non-compact manifolds, Chapter 10. The Lefschetz formula, Chapter 11. The index problem, Chapter 12. The Getzler calculus and the local index theorem, Chapter 13. Applications of the index theorem, Chapter 14. Witten's approach to Morse theory, Chapter 15. Atiyah's T-index theorem, References
