Heat Kernels And Dirac Operators
Download Heat Kernels And Dirac Operators full books in PDF, epub, and Kindle. Read online free Heat Kernels And Dirac Operators ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Heat Kernels and Dirac Operators
Author | : Nicole Berline,Ezra Getzler,Michèle Vergne |
Publsiher | : Springer Science & Business Media |
Total Pages | : 384 |
Release | : 2003-12-08 |
Genre | : Mathematics |
ISBN | : 3540200622 |
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.
The Heat Kernel Lefschetz Fixed Point Formula for the Spin c Dirac Operator
Author | : J.J. Duistermaat |
Publsiher | : Springer Science & Business Media |
Total Pages | : 245 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 9781461253440 |
Download The Heat Kernel Lefschetz Fixed Point Formula for the Spin c Dirac Operator Book in PDF, Epub and Kindle
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.
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](https://youbookinc.com/wp-content/themes/mts_schema/cover.jpg)
Author | : Johannes Jisse Duistermaat |
Publsiher | : Unknown |
Total Pages | : 247 |
Release | : 1996 |
Genre | : Almost complex manifolds |
ISBN | : 3764338652 |
Download The Heat Kernel Lefschetz Fixed Point Formula for the Spin c Dirac Operator Book in PDF, Epub and Kindle
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](https://youbookinc.com/wp-content/themes/mts_schema/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 260 |
Release | : 2011-12-03 |
Genre | : Electronic Book |
ISBN | : 0817682481 |
Download The Heat Kernel Lefschetz Fixed Point Formula for the Spin C Dirac Operator Book in PDF, Epub and Kindle
Heat Kernels for Elliptic and Sub elliptic Operators
Author | : Ovidiu Calin,Der-Chen Chang,Kenro Furutani,Chisato Iwasaki |
Publsiher | : Springer Science & Business Media |
Total Pages | : 436 |
Release | : 2010-10-10 |
Genre | : Mathematics |
ISBN | : 9780817649951 |
Download Heat Kernels for Elliptic and Sub elliptic Operators Book in PDF, Epub and Kindle
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.
Dirac Operators and Spectral Geometry
Author | : Giampiero Esposito |
Publsiher | : Cambridge University Press |
Total Pages | : 227 |
Release | : 1998-08-20 |
Genre | : Mathematics |
ISBN | : 9780521648622 |
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.
Elliptic Boundary Problems for Dirac Operators
Author | : Bernhelm Booß-Bavnbek,Krzysztof P. Wojciechhowski |
Publsiher | : Springer Science & Business Media |
Total Pages | : 322 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461203377 |
Download Elliptic Boundary Problems for Dirac Operators Book in PDF, Epub and Kindle
Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.
The Ubiquitous Heat Kernel
Author | : Jay Jorgenson,American Mathematical Society |
Publsiher | : American Mathematical Soc. |
Total Pages | : 410 |
Release | : 2006 |
Genre | : Geometry, Algebraic |
ISBN | : 9780821836989 |
Download The Ubiquitous Heat Kernel Book in PDF, Epub and Kindle
The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding theirresearch and connecting with others.