Heat Kernels And Dirac Operators


Heat Kernels And Dirac Operators
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Heat Kernels And Dirac Operators


Heat Kernels And Dirac Operators
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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.



Heat Kernels And Dirac Operators


Heat Kernels And Dirac Operators
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Author : Nicole Berline
language : en
Publisher:
Release Date : 2004

Heat Kernels And Dirac Operators written by Nicole Berline and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Differential forms categories.




The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator


The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator
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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.



The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator


The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator
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Author : Johannes Jisse Duistermaat
language : en
Publisher:
Release Date : 1996

The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator written by Johannes Jisse Duistermaat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Almost complex manifolds categories.




The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator


The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator
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Author :
language : en
Publisher:
Release Date : 2011-12-03

The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-03 with categories.




Heat Kernels For Elliptic And Sub Elliptic Operators


Heat Kernels For Elliptic And Sub Elliptic Operators
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Author : Ovidiu Calin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-10

Heat Kernels For Elliptic And Sub Elliptic Operators written by Ovidiu Calin 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 2010-10-10 with Mathematics categories.


This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.



Heat Kernels And Spectral Theory


Heat Kernels And Spectral Theory
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Author : E. B. Davies
language : en
Publisher: Cambridge University Press
Release Date : 1989

Heat Kernels And Spectral Theory written by E. B. Davies 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 1989 with Mathematics categories.


Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.



The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator


The Heat Kernel Lefschetz Fixed Point Formula For The Spin C Dirac Operator
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Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

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 2013-12-01 with Mathematics categories.


When visiting M.I.T. for two weeks in October 1994, Victor Guillemin made me enthusiastic about a problem in symplectic geometry which involved the use of the so-called spin-c Dirac operator. Back in Berkeley, where I had l spent a sabbatical semester , I tried to understand the basic facts about this operator: its definition, the main theorems about it, and their proofs. This book is an outgrowth of the notes in which I worked this out. For me this was a great learning experience because of the many beautiful mathematical structures which are involved. I thank the Editorial Board of Birkhauser, especially Haim Brezis, for sug gesting the publication of these notes as a book. I am also very grateful for the suggestions by the referees, which have led to substantial improvements in the presentation. Finally I would like to express special thanks to Ann Kostant for her help and her prodding me, in her charming way, into the right direction. J.J. Duistermaat Utrecht, October 16, 1995.



Heat Kernel And Analysis On Manifolds


Heat Kernel And Analysis On Manifolds
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Author : Alexander Grigor'yan
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Heat Kernel And Analysis On Manifolds written by Alexander Grigor'yan 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 2009 with Gaussian processes categories.


The heat kernel has long been an essential tool in both classical and modern mathematics but has become especially important in geometric analysis as a result of major innovations beginning in the 1970s. The methods based on heat kernels have been used in areas as diverse as analysis, geometry, and probability, as well as in physics. This book is a comprehensive introduction to heat kernel techniques in the setting of Riemannian manifolds, which inevitably involves analysis of the Laplace-Beltrami operator and the associated heat equation. The first ten chapters cover the foundations of the subject, while later chapters deal with more advanced results involving the heat kernel in a variety of settings. The exposition starts with an elementary introduction to Riemannian geometry, proceeds with a thorough study of the spectral-theoretic, Markovian, and smoothness properties of the Laplace and heat equations on Riemannian manifolds, and concludes with Gaussian estimates of heat kernels. Grigor'yan has written this book with the student in mind, in particular by including over 400 exercises. The text will serve as a bridge between basic results and current research.Titles in this series are co-published with International Press, Cambridge, MA, USA.



Dirac Operators And Spectral Geometry


Dirac Operators And Spectral Geometry
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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.