Index theorem 1 /

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Bibliographic Details
Author / Creator:Furuta, M.
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
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ISBN:9780821820971 (alk. paper)
0821820974 (alk. paper)
Notes:Originally published: Tokyo, Iwanami Shoten, 1999.
Includes bibliographical references and index.
Translated from the Japanese.
Description
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.
Item Description:Originally published: Tokyo, Iwanami Shoten, 1999.
Physical Description:xvii, 205 p. ; 22 cm.
Bibliography:Includes bibliographical references and index.
ISBN:9780821820971
0821820974