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	Título: Atiyah-Singer Index Theorem: An Introduction
	Autor: Amiya Mukherjee	Precio: Desconocido
	Editorial: American Mathematical Society	Año: 2013
	Tema:	Edición: 1ª
	Sinopsis	ISBN: 9789380250540
	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. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in K-theoretic index theorem. Table of Contents K-theory Fredholm operators and Atiyah-Jädnich theorem Bott periodicity and Thom isomorphism Pseudo-differential operators Characteristic classes and Chern-Weil construction Spin structure and Dirac operator Equivariant K-theory The index theorem Cohomological formulation of the index theorem Bibliography Index

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