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Record Nr. |
UNINA9910788857403321 |
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Autore |
Pelayo Alvaro <1978-> |
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Titolo |
Symplectic actions of 2-tori on 4-manifolds / / Alvaro Pelayo |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (81 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 204, Number 959 |
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Disciplina |
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Soggetti |
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Symplectic manifolds |
Low-dimensional topology |
Torus (Geometry) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 204, Number 959 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""Chapter 2. The orbit space""; ""2.1. Symplectic form on the T-orbits""; ""2.2. Stabilizer subgroup classification""; ""2.3. Orbifold structure of M/T""; ""2.4. A flat connection for the projection M M/T""; ""2.5. Symplectic tube theorem""; ""Chapter 3. Global model""; ""3.1. Orbifold coverings of M/T""; ""3.2. Symplectic structure on M/T""; ""3.3. Model of (M, ): Definition""; ""3.4. Model of (M,): Proof""; ""Chapter 4. Global model up to equivariant diffeomorphisms""; ""4.1. Generalization of Kahn's theorem"" |
""4.2. Smooth equivariant splittings""""4.3. Alternative model""; ""Chapter 5. Classification: Free case""; ""5.1. Monodromy invariant""; ""5.2. Uniqueness""; ""5.3. Existence""; ""5.4. Classification theorem""; ""Chapter 6. Orbifold homology and geometric mappings""; ""6.1. Geometric torsion in homology of orbifolds""; ""6.2. Geometric isomorphisms""; ""6.3. Symplectic and torsion geometric maps""; ""6.4. Geometric isomorphisms: Characterization""; ""Chapter 7. Classification""; ""7.1. Monodromy invariant""; ""7.2. Uniqueness""; ""7.3. Existence""; ""7.4. Classification theorem"" |
""Chapter 8. The four-dimensional classification""""8.1. Two families of examples""; ""8.2. Classification statement""; ""8.3. Proof of Theorem 8.2.1""; ""8.4. Corollaries of Theorem 8.2.1""; ""Chapter 9. Appendix: |
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(sometimes symplectic) orbifolds""; ""9.1. Bundles, connections""; ""9.2. Coverings""; ""9.3. Differential and symplectic forms""; ""9.4. Orbifold homology, Hurewicz map""; ""9.5. Classification of orbisurfaces""; ""Bibliography"" |
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