-PDF Download- Introduction To Symplectic Dirac Operators EBOOK

Introduction to Symplectic Dirac Operators

Author: Katharina Habermann

Publisher: Springer

Published: 2006-10-28

Total Pages: 131

ISBN-13: 3540334211

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 of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.

An Introduction to Dirac Operators on Manifolds

Author: Jan Cnops

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 219

ISBN-13: 1461200652

DOWNLOAD EBOOK →

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

The Index Formula for Dirac Operators

Author: Levi Lopes de Lima

Publisher:

Published: 2003

Total Pages: 136

ISBN-13:

DOWNLOAD EBOOK →

Dirac Operators and Spectral Geometry

Author: Giampiero Esposito

Publisher: Cambridge University Press

Published: 1998-08-20

Total Pages: 227

ISBN-13: 0521648629

DOWNLOAD EBOOK →

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 and researchers.

The Dirac Spectrum

Author: Nicolas Ginoux

Publisher: Springer Science & Business Media

Published: 2009-06-11

Total Pages: 168

ISBN-13: 3642015697

DOWNLOAD EBOOK →

This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included.

Operator and Matrix Theory, Function Spaces, and Applications

Author: Marek Ptak

Publisher: Springer Nature

Published:

Total Pages: 423

ISBN-13: 3031506138

DOWNLOAD EBOOK →

Heat Kernels and Dirac Operators

Author: Nicole Berline

Publisher: Springer Science & Business Media

Published: 2003-12-08

Total Pages: 384

ISBN-13: 9783540200628

DOWNLOAD EBOOK →

In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.

Clifford Analysis and Its Applications

Author: F. Brackx

Publisher: Springer Science & Business Media

Published: 2001-07-31

Total Pages: 440

ISBN-13: 9780792370444

DOWNLOAD EBOOK →

In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research. Readership: Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.

Dirac Operators in Representation Theory

Author: Jing-Song Huang

Publisher: Springer Science & Business Media

Published: 2007-05-27

Total Pages: 205

ISBN-13: 0817644938

DOWNLOAD EBOOK →

This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. The book is an excellent contribution to the mathematical literature of representation theory, and this self-contained exposition offers a systematic examination and panoramic view of the subject. The material will be of interest to researchers and graduate students in representation theory, differential geometry, and physics.

Dirac Operators in Analysis

Author: John Ryan

Publisher: CRC Press

Published: 1999-01-06

Total Pages: 260

ISBN-13: 9780582356818

DOWNLOAD EBOOK →

Clifford analysis has blossomed into an increasingly relevant and fashionable area of research in mathematical analysis-it fits conveniently at the crossroads of many fundamental areas of research, including classical harmonic analysis, operator theory, and boundary behavior. This book presents a state-of-the-art account of the most recent developments in the field of Clifford analysis with contributions by many of the field's leading researchers.