The Atiyah-Patodi-Singer Index Theorem

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The Atiyah-Patodi-Singer Index Theorem

The Atiyah-Patodi-Singer Index Theorem

Richard Melrose

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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.

Kategoriler:

Yıl:

1993

Yayımcı:

A.K. Peters

Dil:

english

Sayfalar:

387

ISBN 10:

1568810024

ISBN 13:

9781568810027

Seriler:

Research notes in mathematics 4

Dosya:

PDF, 2.03 MB

IPFS:

,

english, 1993

Online Oku

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İlginizi çekebilir

Peter B. Gilkey — Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem

Nicolaescu L.I. — Notes on the Atiyah-Singer index theorem

Paul Loya — An introductory course in differential geometry and the Atiyah-Singer index theorem

Andre Martinez — An Introduction to Semiclassical and Microlocal Analysis

Bernhelm Booss; David Bleecker — Topology and analysis : the Atiyah-Singer index formula and gauge-theoretic physics

Richard B. Melrose — Geometric Scattering Theory (Stanford Lectures: Distinguished Visiting Lecturers in Mathematics)

Richard S. Palais — Seminar on the Atiyah-Singer Index Theorem

Mikio Furuta — Index Theorem. 1

Gilkey, Peter B.; Krantz, Steven George — Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem

Richard B Melrose — The Atiyah-Patodi-Singer index theorem

S.T. Yau — Surveys in Differential Geometry, Vol 7: Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer

N. Berline E. Getzler M. Vergne — Heat Kernels and Dirac Operators (Grundlehren Der Mathematischen Wissenschaften)

Amiya Mukherjee (auth.) — Atiyah-Singer Index Theorem: An Introduction

Yanlin Yu — Index theorem and heat equation method

Weiping Zhang — Lectures on Chern-Weil Theory and Witten Deformations

Nicolaescu L. — Lectures on the geometry of manifolds

Sigmundur Gudmundsson — An Introduction to Riemannian Geometry

Peter B. Gilkey, John V. Leahy, JeongHyeong Park — Spinors, Spectral Geometry, and Riemannian Submersions

Taylor M.E. — Partial Differential Equations

Nicolaescu L. — Lectures on the geometry of manifolds

Taylor M.E. — Partial Differential Equations. Qualitative studies of linear equations

Nicolaescu L. — Lectures on the geometry of manifolds

J. Demailly — Complex Analytic and Differential Geometry

Berline N., Getzler E., Vergne M. — Heat kernels and Dirac operators

Michael E. Taylor — Partial Differential Equations II: Qualitative Studies of Linear Equations

Richard B Melrose — Geometric scattering theory

Giampiero Esposito — Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics)

John Roe — Elliptic operators, topology and asymptotic methods

Gerd Faltings — Lectures on the arithmetic Riemann-Roch theorem

H. Blaine Lawson, Marie-Louise Michelsohn — Spin geometry

Thomas Friedrich — Dirac operators in Riemannian geometry

Krzysztof Wojciechowski, Bernhelm Booss-Bavnbek (ed.) — Geometric Aspects of Partial Differential Equations: Proceedings of a Mininsymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark

Robert Lauter — Pseudodifferential Analysis on Conformally Compact Spaces

Gerd Grubb, Krzysztof P. Wojciechowski, Bernhelm Booss-Bavnbek — Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds: Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary...Denmark Aug

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