Seminar On The Atiyah Singer Theorem
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| Author | : Michael Francis Atiyah |
| Publisher | : Princeton University Press |
| Total Pages | : 384 |
| Release | : 1965-09-21 |
| Genre | : Mathematics |
| ISBN | : 9780691080314 |
A classic treatment of the Atiyah-Singer index theorem from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
| Author | : Richard S. Palais |
| Publisher | : Princeton University Press |
| Total Pages | : 379 |
| Release | : 2016-03-02 |
| Genre | : Mathematics |
| ISBN | : 1400882044 |
A classic treatment of the Atiyah-Singer index theorem from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
| Author | : Seminar on the Atiyah-Singer Index Theorem |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1966 |
| Genre | : |
| ISBN | : |
| Author | : Richard S. Palais |
| Publisher | : |
| Total Pages | : 366 |
| Release | : 1965 |
| Genre | : Differential topology |
| ISBN | : |
| Author | : Richard Melrose |
| Publisher | : CRC Press |
| Total Pages | : 392 |
| Release | : 1993-03-31 |
| Genre | : Mathematics |
| ISBN | : 1439864608 |
Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.
| Author | : Amiya Mukherjee |
| Publisher | : Springer |
| Total Pages | : 280 |
| Release | : 2013-10-30 |
| Genre | : Mathematics |
| ISBN | : 9386279606 |
This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K -theoretic index theorem and its representation in terms of cohomological characteristic classes. In an effort to make the demands on the reader's knowledge of background materials as modest as possible, the author supplies the proofs of almost every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, and the Atiyah-Segal-Singer fixed point theorem, etc.
| Author | : P. Shanahan |
| Publisher | : Springer |
| Total Pages | : 230 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540359214 |
| Author | : John Roe |
| Publisher | : Longman Scientific and Technical |
| Total Pages | : 208 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Henry P. McKean |
| Publisher | : American Mathematical Society |
| Total Pages | : 159 |
| Release | : 2024-05-23 |
| Genre | : Mathematics |
| ISBN | : 1470477874 |
This little book is a brilliant introduction to an important boundary field between the theory of probability and differential equations. —E. B. Dynkin, Mathematical Reviews This well-written book has been used for many years to learn about stochastic integrals. The book starts with the presentation of Brownian motion, then deals with stochastic integrals and differentials, including the famous Itô lemma. The rest of the book is devoted to various topics of stochastic integral equations, including those on smooth manifolds. Originally published in 1969, this classic book is ideal for supplementary reading or independent study. It is suitable for graduate students and researchers interested in probability, stochastic processes, and their applications.
| Author | : Peter B. Gilkey |
| Publisher | : CRC Press |
| Total Pages | : 534 |
| Release | : 1994-12-22 |
| Genre | : Mathematics |
| ISBN | : 9780849378744 |
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
