Elliptic Operators, Topology, and Asymptotic Methods
Author:   John Roe (Penn State University, Pennsylvania, USA)
Publisher:   Taylor & Francis Ltd
Edition:   2nd edition
ISBN:  

9781138417670


Pages:   218
Publication Date:   15 August 2017
Format:   Hardback
Availability:   In Print   Availability explained
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Elliptic Operators, Topology, and Asymptotic Methods


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Author:   John Roe (Penn State University, Pennsylvania, USA)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Edition:   2nd edition
Weight:   0.453kg
ISBN:  

9781138417670


ISBN 10:   113841767
Pages:   218
Publication Date:   15 August 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

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