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.

Inhaltsverzeichnis

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.

Über den Autor / die Autorin

Richard Melrose

Zusammenfassung

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

Produktdetails

• Autoren: Richard Melrose, Richard B. Melrose, Melrose Richard
• Verlag: B&T
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 01.01.1993
• EAN: 9781568810027
• ISBN: 978-1-56881-002-7
• Seiten: 392
• Abmessung: 152 mm x 24 mm x 229 mm
• Gewicht: 698 g
• Serien: Research Notes in Mathematics; Research Notes in Mathematics
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Geometrie; MATHEMATICS / Topology, MATHEMATICS / Geometry / Analytic, Topology, Analytic geometry