The Atiyah-Patodi-Singer Index Theorem

Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.

List of contents

Introduction and the proof 1 Ordinary differential problems 2 Exact b-geometry 3 Spin Structures 4 Small b-calculus 5 Full calculus 6 Relative index, cohomology and resolvent 7 Heat calculus 8 Local index theorem 9 Proof revisited and applications.

About the author

Richard Melrose

Summary

Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies

Product details

• Authors: Richard Melrose, Richard B. Melrose, Melrose Richard
• Publisher: B&T
• Languages: English
• Product format: Hardback
• Released: 01.01.1993
• EAN: 9781568810027
• ISBN: 978-1-56881-002-7
• No. of pages: 392
• Dimensions: 152 mm x 24 mm x 229 mm
• Weight: 698 g
• Series: Research Notes in Mathematics; Research Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Topology, MATHEMATICS / Geometry / Analytic, Topology, Analytic geometry