Introduction To Symplectic Dirac Operators

Author : Katharina Habermann
Publisher : Springer
ISBN 13 : 3540334211
Total Pages : 131 pages
Book Rating : 4.17/5 ( download)

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Download or read book Introduction to Symplectic Dirac Operators written by Katharina Habermann and published by Springer. This book was released on 2006-10-28 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jan Cnops
Publisher : Springer Science & Business Media
ISBN 13 : 1461200652
Total Pages : 219 pages
Book Rating : 4.59/5 ( download)

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Download or read book An Introduction to Dirac Operators on Manifolds written by Jan Cnops and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Levi Lopes de Lima
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.54/5 ( download)

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Download or read book The Index Formula for Dirac Operators written by Levi Lopes de Lima and published by . This book was released on 2003 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Giampiero Esposito
Publisher : Cambridge University Press
ISBN 13 : 0521648629
Total Pages : 227 pages
Book Rating : 4.22/5 ( download)

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Download or read book Dirac Operators and Spectral Geometry written by Giampiero Esposito and published by Cambridge University Press. This book was released on 1998-08-20 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Nicolas Ginoux
Publisher : Springer Science & Business Media
ISBN 13 : 3642015697
Total Pages : 168 pages
Book Rating : 4.94/5 ( download)

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Download or read book The Dirac Spectrum written by Nicolas Ginoux and published by Springer Science & Business Media. This book was released on 2009-06-11 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Marek Ptak
Publisher : Springer Nature
ISBN 13 : 3031506138
Total Pages : 423 pages
Book Rating : 4.30/5 ( download)

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Download or read book Operator and Matrix Theory, Function Spaces, and Applications written by Marek Ptak and published by Springer Nature. This book was released on with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Nicole Berline
Publisher : Springer Science & Business Media
ISBN 13 : 9783540200628
Total Pages : 384 pages
Book Rating : 4.22/5 ( download)

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Download or read book Heat Kernels and Dirac Operators written by Nicole Berline and published by Springer Science & Business Media. This book was released on 2003-12-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : F. Brackx
Publisher : Springer Science & Business Media
ISBN 13 : 9780792370444
Total Pages : 440 pages
Book Rating : 4.49/5 ( download)

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Download or read book Clifford Analysis and Its Applications written by F. Brackx and published by Springer Science & Business Media. This book was released on 2001-07-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jing-Song Huang
Publisher : Springer Science & Business Media
ISBN 13 : 0817644938
Total Pages : 205 pages
Book Rating : 4.32/5 ( download)

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Download or read book Dirac Operators in Representation Theory written by Jing-Song Huang and published by Springer Science & Business Media. This book was released on 2007-05-27 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : John Ryan
Publisher : CRC Press
ISBN 13 : 9780582356818
Total Pages : 260 pages
Book Rating : 4.14/5 ( download)

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Download or read book Dirac Operators in Analysis written by John Ryan and published by CRC Press. This book was released on 1999-01-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.