Michael Atiyah Collected Works
Volume 4: Index Theory 2
Published on 28. April 1988
Book
Hardback
654 pages
978-0-19-853278-1 (ISBN)
Description
Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject.
Volumes III and IV cover papers written in 1963-84 and are the result of a long collaboration with I. M. Singer on the Index Theory of elliptic operators.
Volumes III and IV cover papers written in 1963-84 and are the result of a long collaboration with I. M. Singer on the Index Theory of elliptic operators.
More details
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Illustrations
frontispiece
Dimensions
Height: 253 mm
Width: 194 mm
Thickness: 42 mm
Weight
1356 gr
ISBN-13
978-0-19-853278-1 (9780198532781)
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Schweitzer Classification
Person
Content
79. On the heat equation and the index theorem ; 79.a . Errata to the paper: On the heat equation and the index theorem ; 80. Spectral asymmetry and Riemannian geometry ; 81. Spectral asymmetry and Riemannian geometry I ; 82. Spectral asymmetry and Riemannian geometry II ; 83. Spectral asymmetry and Riemannian geometry III ; 84. Hyperbolic differential equations and algebraic geometry. ; 85. Lacunas for hyperbolic differential operators with constant coefficients I ; 86. Lacunas for hyperbolic differential operators with constant coefficients II. ; 87. Eigenvalues and Riemannian geometry. ; 88. Classical groups and classical differential operators on manifolds. ; 89. Elliptic operators, discrete groups and von Neumann algebras. ; 90. A geometric construction of the discrete series for the semi-simple Lie groups. ; 90.a. Erratum to A geometric construction of the discrete series for the semi-simple Lie groups ; 91. Characters of semi-simple Lie groups. ; 92. Geometry and analysis of Shimizu L-functions. ; 93. Eta invariants, signature defects of cusps and values of L-functions. ; 93. a. Signature defects of cusps and values of L-functions: the nonsplit case