|
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910480647403321 |
|
|
Autore |
Pelayo Alvaro <1978-> |
|
|
Titolo |
Symplectic actions of 2-tori on 4-manifolds / / Alvaro Pelayo |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2009 |
|
©2009 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (81 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 204, Number 959 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Symplectic manifolds |
Low-dimensional topology |
Torus (Geometry) |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"Volume 204, Number 959 (third of 5 numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""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: (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"" |
|
|
|
|
|
| |