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Topology and Analysis : The Atiyah-Singer Index Formula and Gauge-Theoretic Physics / B. Booss, D. D. Bleecker
| Topology and Analysis : The Atiyah-Singer Index Formula and Gauge-Theoretic Physics / B. Booss, D. D. Bleecker |
| Autore | Booss, Bernhelm Bavnbek <1941- > |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985 |
| Descrizione fisica | xvi, 451 p. : ill. ; 24 cm |
| Altri autori (Persone) | Bleecker, David D. |
| Soggetto topico |
58-XX - Global analysis, analysis on manifolds [MSC 2020]
47A53 - (Semi-) Fredholm operators; index theories [MSC 2020] 47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators [MSC 2020] 58J40 - Pseudodifferential and Fourier integral operators on manifolds [MSC 2020] 58J20 - Index theory and related fixed point theorems on manifolds [MSC 2020] 55R50 - Stable classes of vector space bundles in algebraic topology and relations to K-theory [MSC 2020] 55R25 - Sphere bundles and vector bundles in algebraic topology [MSC 2020] |
| Soggetto non controllato |
Atiyah-Singer index formula
Characters Chern class Differential operators Finite Functions Instanton Integrals Proofs Riemann surfaces Topology Variables Vector fields analysis on manifolds |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0268839 |
Booss, Bernhelm Bavnbek <1941- >
|
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| New York, : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Topology and Analysis : The Atiyah-Singer Index Formula and Gauge-Theoretic Physics / B. Booss, D. D. Bleecker
| Topology and Analysis : The Atiyah-Singer Index Formula and Gauge-Theoretic Physics / B. Booss, D. D. Bleecker |
| Autore | Booss-Bavnbek, Bernhelm |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985 |
| Descrizione fisica | xvi, 451 p. : ill. ; 24 cm |
| Altri autori (Persone) | Bleecker, David D. |
| Soggetto topico |
47A53 - (Semi-) Fredholm operators; index theories [MSC 2020]
47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators [MSC 2020] 55R25 - Sphere bundles and vector bundles in algebraic topology [MSC 2020] 55R50 - Stable classes of vector space bundles in algebraic topology and relations to K-theory [MSC 2020] 58-XX - Global analysis, analysis on manifolds [MSC 2020] 58J20 - Index theory and related fixed point theorems on manifolds [MSC 2020] 58J40 - Pseudodifferential and Fourier integral operators on manifolds [MSC 2020] |
| Soggetto non controllato |
Analysis on Manifolds
Atiyah-Singer Index Formula Characters Chern classes Differential Operators Finite Functions Instanton Integrals Proofs Riemann surfaces Topology Variables Vector fields |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readi ness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathe matical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as weIl as specific features of differ ent mathematical approaches, and must have experience with their inter connections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spi te of i ts difficulty and immensely rich interrela tions, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle * semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the many facetted and always new presentations of the material by M. F. Similar content be |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00268839 |
|
Booss-Bavnbek, Bernhelm
|
||
| New York, : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||