LEADER 02855nam 2200529 450 001 9910819082903321 005 20180731044358.0 010 $a1-4704-0585-7 035 $a(CKB)3360000000465155 035 $a(EBL)3114092 035 $a(SSID)ssj0000889043 035 $a(PQKBManifestationID)11488378 035 $a(PQKBTitleCode)TC0000889043 035 $a(PQKBWorkID)10866012 035 $a(PQKB)10620777 035 $a(MiAaPQ)EBC3114092 035 $a(RPAM)16306447 035 $a(PPN)195418611 035 $a(EXLCZ)993360000000465155 100 $a20150417h20102010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLocally toric manifolds and singular Bohr-Sommerfeld leaves /$fMark D. Hamilton 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2010. 210 4$dİ2010 215 $a1 online resource (60 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 207, Number 971 300 $a"Volume 207, Number 971 (first of 5 numbers)." 311 $a0-8218-4714-7 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1.1. Methods""; ""Chapter 2. Background""; ""2.1. Connections""; ""2.2. Sheaves and cohomology""; ""2.3. Toric manifolds""; ""2.4. Geometric quantization and polarizations""; ""2.5. Examples""; ""2.6. Aside: Rigidity of Bohr-Sommerfeld leaves""; ""Chapter 3. The cylinder""; ""3.1. Flat sections and Bohr-Sommerfeld leaves""; ""3.2. Sheaf cohomology""; ""3.3. Brick wall covers""; ""3.4. Mayer-Vietoris""; ""3.5. Refinements and covers: Scaling the brick wall""; ""Chapter 4. The complex plane""; ""4.1. The sheaf of sections flat along the leaves"" 327 $a""4.2. Cohomology""""4.3. Mayer-Vietoris""; ""Chapter 5. Example: S2""; ""Chapter 6. The multidimensional case""; ""6.1. The model space""; ""6.2. The flat sections""; ""6.3. Multidimensional Mayer-Vietoris""; ""Chapter 7. A better way to calculate cohomology""; ""7.1. Theory""; ""7.2. The case of one dimension""; ""7.3. The structure of the coming calculation""; ""7.4. The case of several dimensions: Non-singular""; ""7.5. The partially singular case""; ""Chapter 8. Piecing and glueing""; ""8.1. Necessary sheaf theory""; ""8.2. The induced map on cohomology""; ""8.3. Patching together"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 207, Number 971. 606 $aGeometric quantization 615 0$aGeometric quantization. 676 $a516.36 700 $aHamilton$b Mark D.$f1974-$01714491 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819082903321 996 $aLocally toric manifolds and singular Bohr-Sommerfeld leaves$94108353 997 $aUNINA