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Seminar on the Atiyah-Singer index theorem /
This book consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64 upon the initiative of A. Borel. Aside from going through the details of the proof of the Index Theorem, the major emphasis of the seminar was placed on developing the topological and...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , , , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
1965.
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| Colección: | Annals of mathematics studies ;
no. 57. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This book consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64 upon the initiative of A. Borel. Aside from going through the details of the proof of the Index Theorem, the major emphasis of the seminar was placed on developing the topological and analytical machinery associated with integro-differential operators. On the topological side the agreement was to assume a reasonable degree of sophistication. Thus, the basic facts concerning K-theory and characteristic classes are reviewed rather than proved and the emphasis is on showing how, with these tools, elliptic operators give rise to cohomology classes and on studying the properties of these classes. On the analytical side, it was decided to start more or less ab initio. The reason for this somewhat unbalanced exposition is in part due to the predilections of the organizers of the seminar, but also in part it is due to the fact that while most of the algebraic topology involved is covered in complete detail in easily accessible published papers, much of the analysis is quite recent, and the published versions often refer explicitly only to the case of trivial bundles over domains in Euclidean space. |
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| Notas: | "Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64." |
| Descripción Física: | 1 online resource (x, 369 pages) |
| Bibliografía: | Includes bibliographical references at chapter ends. |
| ISBN: | 9781400882045 1400882044 |