Michael Atiyah Collected Works
Volume 3: Index Theory 1
Published on 28. April 1988
Book
Hardback
618 pages
978-0-19-853277-4 (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: 41 mm
Weight
1326 gr
ISBN-13
978-0-19-853277-4 (9780198532774)
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Schweitzer Classification
Person
Content
56. The index of elliptical operators on compact manifolds. ; 57. The index problem for manifolds with boundary. ; 58. The index theorem for manifolds with boundary. ; 59. Algebraic topology and elliptical operators. ; 60. Global aspects of the theory of elliptical differential operators. ; 61. A Lefschetz fixed-point formula for elliptical differential operators. ; 62. A Lefschetz fixed-point formula for elliptical complexes I. ; 63. A Lefschetz fixed-point formula for elliptical complexes II. ; 64. The index of elliptical operators I ; 65. The index of elliptical operators II ; 66. The index of elliptical operators III ; 67. The index of elliptical operators IV ; 68. The index of elliptical operators V ; 69. Global theory of elliptical operators. ; 70. Index theory for skew-adjoint Fredholm operators. ; 71. The signature of fibre bundles. ; 72. Topology of elliptical operators. ; 73. Resolution of singularities and division of distributions. ; 74. Spin-manifolds and group actions. ; 75. Riemann surfaces and spin structures. ; 76. Vector bundles of projective 3-space. ; 77. The index of elliptical operators. ; 78. Elliptical operators and compact groups.