An Introduction to Dirac Operators on Manifolds

An Introduction to Dirac Operators on Manifolds
Author: Jan Cnops
Publisher: Springer Science & Business Media
Total Pages: 219
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461200652

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The chapters on Clifford algebra and differential geometry can be used as an introduction to the topics, and are suitable for senior undergraduates and graduates. The other chapters are also accessible at this level.; This self-contained book requires very little previous knowledge of the domains covered, although the reader will benefit from knowledge of complex analysis, which gives the basic example of a Dirac operator.; The more advanced reader will appreciate the fresh approach to the theory, as well as the new results on boundary value theory.; Concise, but self-contained text at the introductory grad level. Systematic exposition.; Clusters well with other Birkhäuser titles in mathematical physics.; Appendix. General Manifolds * List of Symbols * Bibliography * Index


An Introduction to Dirac Operators on Manifolds
Language: en
Pages: 219
Authors: Jan Cnops
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The chapters on Clifford algebra and differential geometry can be used as an introduction to the topics, and are suitable for senior undergraduates and graduate
Introduction to Symplectic Dirac Operators
Language: en
Pages: 131
Authors: Katharina Habermann
Categories: Mathematics
Type: BOOK - Published: 2006-10-28 - Publisher: Springer

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This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state
Dirac Operators in Riemannian Geometry
Language: en
Pages: 213
Authors: Thomas Friedrich
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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For a Riemannian manifold M, the geometry, topology and analysis are interrelated in ways that have become widely explored in modern mathematics. Bounds on the
The Index Formula for Dirac Operators
Language: en
Pages: 136
Authors: Levi Lopes de Lima
Categories: Dirac equation
Type: BOOK - Published: 2003 - Publisher:

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Dirac Operators and Spectral Geometry
Language: en
Pages: 227
Authors: Giampiero Esposito
Categories: Mathematics
Type: BOOK - Published: 1998-08-20 - Publisher: Cambridge University Press

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A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students