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Record Nr. |
UNINA9910788858603321 |
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Autore |
Hamilton Mark D. <1974-> |
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Titolo |
Locally toric manifolds and singular Bohr-Sommerfeld leaves / / Mark D. Hamilton |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2010 |
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©2010 |
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ISBN |
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Descrizione fisica |
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1 online resource (60 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 207, Number 971 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 207, Number 971 (first of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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