Index theorem 1 /
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Author / Creator: | Furuta, M. |
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Imprint: | Providence, R.I. : American Mathematical Society, 2007. |
Description: | xvii, 205 p. ; 22 cm. |
Language: | English |
Series: | Translations of mathematical monographs ; v. 235 Iwanami series in modern mathematics |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6644486 |
Summary: | The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solutions of a linear elliptic partial differential operator on a manifold in terms of purely topological data related to the manifold and the symbol of the operator. First proved by Atiyah and Singer in 1963, it marked the beginning of a completely new direction of research in mathematics with relations to differential geometry, partial differential equations, differential topology, K-theory, physics, and other areas. |
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Item Description: | Originally published: Tokyo, Iwanami Shoten, 1999. |
Physical Description: | xvii, 205 p. ; 22 cm. |
Bibliography: | Includes bibliographical references and index. |
ISBN: | 9780821820971 0821820974 |