02855nam 2200529 450 991081908290332120180731044358.01-4704-0585-7(CKB)3360000000465155(EBL)3114092(SSID)ssj0000889043(PQKBManifestationID)11488378(PQKBTitleCode)TC0000889043(PQKBWorkID)10866012(PQKB)10620777(MiAaPQ)EBC3114092(RPAM)16306447(PPN)195418611(EXLCZ)99336000000046515520150417h20102010 uy 0engur|n|---|||||txtccrLocally toric manifolds and singular Bohr-Sommerfeld leaves /Mark D. HamiltonProvidence, Rhode Island :American Mathematical Society,2010.©20101 online resource (60 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 207, Number 971"Volume 207, Number 971 (first of 5 numbers)."0-8218-4714-7 Includes bibliographical references.""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""""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""Memoirs of the American Mathematical Society ;Volume 207, Number 971.Geometric quantizationGeometric quantization.516.36Hamilton Mark D.1974-1714491MiAaPQMiAaPQMiAaPQBOOK9910819082903321Locally toric manifolds and singular Bohr-Sommerfeld leaves4108353UNINA