Monopoles and three-manifolds / Peter Kronheimer, Tomasz Mrowka.

Por: Kronheimer, P. BColaborador(es): Mrowka, TomaszSeries New mathematical monographs: 10.Editor: Cambridge, UK ; New York : Cambridge University Press, 2011Edición: 1st pbk. edDescripción: xii, 796 p. : il. ; 23 cmISBN: 9780521184762 (pbk.); 0521184762 (pbk.)Tema(s): Three-manifolds (Topology) | Homology theory | Seiberg-Witten invariants | Moduli theoryOtra clasificación: 57R57 (53C27 57N10 57R57 57R58)
Contenidos:
1. Outlines2. The Seiberg-Witten equations and compactness3. Hilbert manifolds and perturbations4. Moduli spaces and transversality5. Compactness and gluing6. Floer homology7. Cobordisms and invariance8. Non-exact perturbations9. Calculations10. Further developments.
Resumen: This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
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Libros Libros Instituto de Matemática, CONICET-UNS
Libros ordenados por tema 57 K93 (Browse shelf) Available A-8870

Originally published: 2007.

Incluye referencias bibliográficas (p. 779-784) e índice.

1. Outlines -- 2. The Seiberg-Witten equations and compactness -- 3. Hilbert manifolds and perturbations -- 4. Moduli spaces and transversality -- 5. Compactness and gluing -- 6. Floer homology -- 7. Cobordisms and invariance -- 8. Non-exact perturbations -- 9. Calculations -- 10. Further developments.

This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.

MR, 2009f:57049

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