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mainspring of current mathematical research. This book provides a lucid and accessible account of the modern study of the geometry of four-manifolds. Consequently, it will be required reading for all those mathematicians and theoretical physicists whose research touches on this topic. The authors
present both a thorough treatment of the main lines of these developments in four-manifold topology--notably the definition of new invariants of four-manifolds--and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills
instantons on four-manifolds are proven in detail. On the geometric side, the book contains a new proof of the classification of instantons on the four-sphere, together with an extensive discussion of the differential geometry of holomorphic vector bundles. At the end of the book the different
strands of the theory are brought together in the proofs of results which settle long-standing problems in four-manifolds topology and which are close to the frontiers of current research. Co-author Donaldson is the 1994 co-recipient of the prestigious Crafoord Prize.
mainspring of current mathematical research. This book provides a lucid and accessible account of the modern study of the geometry of four-manifolds. Consequently, it will be required reading for all those mathematicians and theoretical physicists whose research touches on this topic. The authors
present both a thorough treatment of the main lines of these developments in four-manifold topology--notably the definition of new invariants of four-manifolds--and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills
instantons on four-manifolds are proven in detail. On the geometric side, the book contains a new proof of the classification of instantons on the four-sphere, together with an extensive discussion of the differential geometry of holomorphic vector bundles. At the end of the book the different
strands of the theory are brought together in the proofs of results which settle long-standing problems in four-manifolds topology and which are close to the frontiers of current research. Co-author Donaldson is the 1994 co-recipient of the prestigious Crafoord Prize.
- 1: Four-manifolds
- 2: Connections
- 3: The Fourier transform and ADHM construction
- 4: Yang-Mills moduli spaces
- 5: Topology and connections
- 6: Stable holomorphic bundles over Kähler surfaces
- 7: Excision and glueing
- 8: Non-existence results
- 9: Invariants of smooth four-manifolds
- 10: The differential topology of algebraic surfaces
- Appendix
- References
- Index
| Erscheinungsjahr: | 1997 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 452 |
| ISBN-13: | 9780198502692 |
| ISBN-10: | 0198502699 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Donaldson, Kronheimer
Kronheimer, P. B. Donaldson, S. K. |
| Hersteller: | OUP Oxford |
| Maße: | 234 x 156 x 24 mm |
| Von/Mit: | Kronheimer Donaldson (u. a.) |
| Erscheinungsdatum: | 01.12.1997 |
| Gewicht: | 0,682 kg |
- 1: Four-manifolds
- 2: Connections
- 3: The Fourier transform and ADHM construction
- 4: Yang-Mills moduli spaces
- 5: Topology and connections
- 6: Stable holomorphic bundles over Kähler surfaces
- 7: Excision and glueing
- 8: Non-existence results
- 9: Invariants of smooth four-manifolds
- 10: The differential topology of algebraic surfaces
- Appendix
- References
- Index
| Erscheinungsjahr: | 1997 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 452 |
| ISBN-13: | 9780198502692 |
| ISBN-10: | 0198502699 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Donaldson, Kronheimer
Kronheimer, P. B. Donaldson, S. K. |
| Hersteller: | OUP Oxford |
| Maße: | 234 x 156 x 24 mm |
| Von/Mit: | Kronheimer Donaldson (u. a.) |
| Erscheinungsdatum: | 01.12.1997 |
| Gewicht: | 0,682 kg |
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