LEADER 03408nam 2200589 450 001 9910788857403321 005 20170822144402.0 010 $a1-4704-0573-3 035 $a(CKB)3360000000465143 035 $a(EBL)3114172 035 $a(SSID)ssj0000889255 035 $a(PQKBManifestationID)11478762 035 $a(PQKBTitleCode)TC0000889255 035 $a(PQKBWorkID)10894880 035 $a(PQKB)10177829 035 $a(MiAaPQ)EBC3114172 035 $a(RPAM)16022809 035 $a(PPN)195418484 035 $a(EXLCZ)993360000000465143 100 $a20150416h20092009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSymplectic actions of 2-tori on 4-manifolds /$fAlvaro Pelayo 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009. 210 4$dİ2009 215 $a1 online resource (81 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 204, Number 959 300 $a"Volume 204, Number 959 (third of 5 numbers)." 311 $a0-8218-4713-9 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""Chapter 8. The four-dimensional classification""""8.1. Two families of examples""; ""8.2. Classification statement""; ""8.3. Proof of Theorem 8.2.1""; ""8.4. Corollaries of Theorem 8.2.1""; ""Chapter 9. Appendix: (sometimes symplectic) orbifolds""; ""9.1. Bundles, connections""; ""9.2. Coverings""; ""9.3. Differential and symplectic forms""; ""9.4. Orbifold homology, Hurewicz map""; ""9.5. Classification of orbisurfaces""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 204, Number 959. 606 $aSymplectic manifolds 606 $aLow-dimensional topology 606 $aTorus (Geometry) 615 0$aSymplectic manifolds. 615 0$aLow-dimensional topology. 615 0$aTorus (Geometry) 676 $a516.3/62 700 $aPelayo$b Alvaro$f1978-$01565986 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788857403321 996 $aSymplectic actions of 2-tori on 4-manifolds$93836188 997 $aUNINA