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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 |
|---|---|
| Autores principales: | , , , , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
1965.
|
| Colección: | Annals of mathematics studies ;
no. 57. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Palais, Richard S. | |
| 245 | 1 | 0 | |a Seminar on the Atiyah-Singer index theorem / |c by Richard S. Palais ; with contributions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. Seeley, W. Shih, [and] R. Solovay. |
| 264 | 1 | |a Princeton, N.J. : |b Princeton University Press, |c 1965. | |
| 300 | |a 1 online resource (x, 369 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Annals of mathematics studies ; |v number 57 | |
| 500 | |a "Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64." | ||
| 504 | |a Includes bibliographical references at chapter ends. | ||
| 505 | 0 | 0 | |t Statement of the theorem : outline of the proof / |r A. Borel -- |t Review of K-theory / |r Robert Solovay -- |t The topological index of an operator associated to a G-structure / |r Robert Solovay -- |t Differential operators on vector bundles / |r Richard S. Palais -- |t Analytical indices of some concrete operators / |r Robert M. Solovay -- |t Review of functional analysis / |r Richard S. Palais -- |t Fredhold operators / |r Richard S. Palais -- |t Chains of Hilbertian spaces / |r Richard S. Palais -- |t The discrete Sobolev chain of a vector bundle / |r Richard S. Palais -- |t The continuous Sobolev chain of a vector bundle / |r Richard S. Palais -- |t The Seeley algebra / |r Richard S. Palais -- |t Homotopy invariance of the index / |r Richard S. Palais -- |t Whitney sums / |r Richard S. Palais -- |t Tensor products / |r Richard S. Palais -- |t Definition of [lowercase]i[subscript lowercase]a and [lowercase]i[subscript lowercase]t on K(M) / |r Robert M. Solovay -- |t Construction of Int[subscript lowercase]k / |r R. S. Palais and |r R. T. Seeley -- |t Cobordism invariance of the analytical index / |r R. S. Palais and |r R. T. Seeley -- |t Bordism groups of bundles / |r E. E. Floyd -- |t The index theorem : applications / |r Robert M. Solovay -- |g Appendix I. |t The index theorem for manifolds with boundary / |r M. F. Atiyah -- |g Appendix II. |t Non-stable characteristic classes and the topological index of classical elliptic operators / |r Weishu Shih. |
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Atiyah-Singer index theorem. | |
| 650 | 0 | |a Differential topology. | |
| 650 | 0 | |a Homology theory. | |
| 650 | 6 | |a Topologie différentielle. | |
| 650 | 6 | |a Homologie. | |
| 650 | 6 | |a Théorème d'Atiyah-Singer. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Atiyah-Singer index theorem. |2 fast |0 (OCoLC)fst00820170 | |
| 650 | 7 | |a Differential topology. |2 fast |0 (OCoLC)fst00893498 | |
| 650 | 7 | |a Homology theory. |2 fast |0 (OCoLC)fst00959720 | |
| 650 | 7 | |a Indextheorem |2 gnd | |
| 655 | 7 | |a Instructional and educational works |2 fast |0 (OCoLC)fst01919931 | |
| 655 | 7 | |a Instructional and educational works. |2 lcgft | |
| 700 | 1 | |a Atiyah, Michael Francis, |d 1929-2019, |e author. | |
| 700 | 1 | |a Borel, Armand. |e author. | |
| 700 | 1 | |a Floyd, E. E. |q (Edwin Earl), |e author. | |
| 700 | 1 | |a Seeley, Robert T., |e author. | |
| 700 | 1 | |a Shih, Weishu. |e author. | |
| 700 | 1 | |a Solovay, Robert M., |e author. | |
| 710 | 2 | |a Institute for Advanced Study (Princeton, N.J.) | |
| 776 | 0 | 8 | |i Print version: |a Palais, Richard S. |t Seminar on the Atiyah-Singer index theorem. |d Princeton, N.J., Princeton University Press, 1965 |z 0691080313 |w (DLC) 65017157 |w (OCoLC)529768 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 57. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1bd6k0x |z Texto completo |
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