03410nam 2200589 450 991048064740332120170822144402.01-4704-0573-3(CKB)3360000000465143(EBL)3114172(SSID)ssj0000889255(PQKBManifestationID)11478762(PQKBTitleCode)TC0000889255(PQKBWorkID)10894880(PQKB)10177829(MiAaPQ)EBC3114172(PPN)195418484(EXLCZ)99336000000046514320150416h20092009 uy 0engur|n|---|||||txtccrSymplectic actions of 2-tori on 4-manifolds /Alvaro PelayoProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (81 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 204, Number 959"Volume 204, Number 959 (third of 5 numbers)."0-8218-4713-9 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 204, Number 959.Symplectic manifoldsLow-dimensional topologyTorus (Geometry)Electronic books.Symplectic manifolds.Low-dimensional topology.Torus (Geometry)516.3/62Pelayo Alvaro1978-940159MiAaPQMiAaPQMiAaPQBOOK9910480647403321Symplectic actions of 2-tori on 4-manifolds2119962UNINA01939nas 2200577-a 450 99620587740331620230213213019.01522-9602(OCoLC)38871264(CKB)954922647077(CONSER)--2019204719(MiAaPQ)55445(EXLCZ)9995492264707719980331a19399999 s-- aengurmnu||||||||txtrdacontentcrdamediacrrdacarrierBulletin of mathematical biologyOxford Pergamon Press1973-[Place of publication not identified] Elsevier ScienceNew York, NY Springer-Verlag1 online resourceRefereed/Peer-reviewed0092-8240 "The bulletin of mathematical biology is devoted to research at the junction of computational, theoretical and experimental biology. With its high scientific standards and stress on clear exposition, the Bulletin is of interest to theorists and experimentalists alike."Mathematical biologyBULL MATH BIOLB MATH BIOLBULL. MATH. BIOLBull. math. biol.BiomathematicsPeriodicalsBiophysicsPeriodicalsBiomathématiquesPériodiquesBiophysiquePériodiquesBiomathematicsfast(OCoLC)fst00832555Biophysicsfast(OCoLC)fst00832656Periodicals.fastBiomathematicsBiophysicsBiomathématiquesBiophysiqueBiomathematics.Biophysics.571Society for Mathematical Biology.JOURNAL996205877403316Bulletin of mathematical biology798114UNISA