Introduction To Symplectic Dirac Operators
DOWNLOAD
Download Introduction To Symplectic Dirac Operators PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Introduction To Symplectic Dirac Operators book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Introduction To Symplectic Dirac Operators
DOWNLOAD
Author : Katharina Habermann
language : en
Publisher: Springer
Release Date : 2006-10-28
Introduction To Symplectic Dirac Operators written by Katharina Habermann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-28 with Mathematics categories.
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
DOWNLOAD
Author : Jan Cnops
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Dirac Operators On Manifolds written by Jan Cnops and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
DOWNLOAD
Author : Levi Lopes de Lima
language : en
Publisher:
Release Date : 2003
The Index Formula For Dirac Operators written by Levi Lopes de Lima and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Dirac equation categories.
Dirac Operators And Spectral Geometry
DOWNLOAD
Author : Giampiero Esposito
language : en
Publisher: Cambridge University Press
Release Date : 1998-08-20
Dirac Operators And Spectral Geometry written by Giampiero Esposito and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-20 with Mathematics categories.
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
DOWNLOAD
Author : Nicolas Ginoux
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-11
The Dirac Spectrum written by Nicolas Ginoux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-11 with Mathematics categories.
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.
Heat Kernels And Dirac Operators
DOWNLOAD
Author : Nicole Berline
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-12-08
Heat Kernels And Dirac Operators written by Nicole Berline and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-08 with Mathematics categories.
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.
The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator
DOWNLOAD
Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-08
The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator written by J.J. Duistermaat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-08 with Mathematics categories.
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.
Dirac Operators In Analysis
DOWNLOAD
Author : John Ryan
language : en
Publisher: CRC Press
Release Date : 1999-01-06
Dirac Operators In Analysis written by John Ryan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-06 with Mathematics categories.
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.
Operator And Matrix Theory Function Spaces And Applications
DOWNLOAD
Author : Marek Ptak
language : en
Publisher: Springer Nature
Release Date :
Operator And Matrix Theory Function Spaces And Applications written by Marek Ptak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Analytic Deformations Of The Spectrum Of A Family Of Dirac Operators On An Odd Dimensional Manifold With Boundary
DOWNLOAD
Author : Paul Kirk
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Analytic Deformations Of The Spectrum Of A Family Of Dirac Operators On An Odd Dimensional Manifold With Boundary written by Paul Kirk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The subject of this memoir is the spectrum of a Dirac-type operator on an odd-dimensional manifold M with boundary and, particularly, how this spectrum varies under an analytic perturbation of the operator. Two types of eigenfunctions are considered: first, those satisfying the ``global boundary conditions'' of Atiyah, Patodi, and Singer and second, those which extend to $L^2$ eigenfunctions on M with an infinite collar attached to its boundary. The unifying idea behind the analysis of these two types of spectra is the notion of certain ``eigenvalue-Lagrangians'' in the symplectic space $L^2(\partial M)$, an idea due to Mrowka and Nicolaescu. By studying the dynamics of these Lagrangians, the authors are able to establish that those portions of the two types of spectra which pass through zero behave in essentially the same way (to first non-vanishing order). In certain cases, this leads to topological algorithms for computing spectral flow.