Introduction To Symplectic Dirac Operators PDF Download
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| Author | : Katharina Habermann |
| Publisher | : Springer |
| Total Pages | : 131 |
| Release | : 2006-10-28 |
| Genre | : Mathematics |
| ISBN | : 3540334211 |
Download Introduction to Symplectic Dirac Operators Book in PDF, ePub and Kindle
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 |
| Total Pages | : 219 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461200652 |
Download An Introduction to Dirac Operators on Manifolds Book in PDF, ePub and Kindle
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 | : |
| Total Pages | : 136 |
| Release | : 2003 |
| Genre | : Dirac equation |
| ISBN | : |
Download The Index Formula for Dirac Operators Book in PDF, ePub and Kindle
| Author | : Michel Cahen |
| Publisher | : |
| Total Pages | : 49 |
| Release | : 2013 |
| Genre | : |
| ISBN | : |
Download On $Mp^c$-structures and Symplectic Dirac Operators Book in PDF, ePub and Kindle
| Author | : Giampiero Esposito |
| Publisher | : Cambridge University Press |
| Total Pages | : 227 |
| Release | : 1998-08-20 |
| Genre | : Mathematics |
| ISBN | : 0521648629 |
Download Dirac Operators and Spectral Geometry Book in PDF, ePub and Kindle
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 |
| Total Pages | : 168 |
| Release | : 2009-06-11 |
| Genre | : Mathematics |
| ISBN | : 3642015697 |
Download The Dirac Spectrum Book in PDF, ePub and Kindle
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 | : Nicole Berline |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 384 |
| Release | : 2003-12-08 |
| Genre | : Mathematics |
| ISBN | : 9783540200628 |
Download Heat Kernels and Dirac Operators Book in PDF, ePub and Kindle
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 | : Jing-Song Huang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 205 |
| Release | : 2007-05-27 |
| Genre | : Mathematics |
| ISBN | : 0817644938 |
Download Dirac Operators in Representation Theory Book in PDF, ePub and Kindle
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 | : J.J. Duistermaat |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 249 |
| Release | : 2011-07-08 |
| Genre | : Mathematics |
| ISBN | : 0817682473 |
Download The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator Book in PDF, ePub and Kindle
Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics. The book covers a variety of concepts fundamental to the study and applications of the spin-c Dirac operator, making use of the heat kernels theory of Berline, Getzlet, and Vergne. True to the precision and clarity for which J.J. Duistermaat was so well known, the exposition is elegant and concise.
| Author | : Katharina Habermann |
| Publisher | : |
| Total Pages | : 23 |
| Release | : 1997 |
| Genre | : |
| ISBN | : |
Download Symplectic Dirac Operators on Kähler Manifolds Book in PDF, ePub and Kindle
