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On the cohomology of a polarization which contains the generators of a free torus action
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UNSPECIFIED (2001) On the cohomology of a polarization which contains the generators of a free torus action. JOURNAL OF GEOMETRY AND PHYSICS, 39 (1). pp. 62-80. ISSN 0393-0440
Full text not available from this repository.Abstract
In [Trans. Am. Math. Sec. 230 (1977) 235], Rawnsley studies a strongly integrable subtangent bundle F on a smooth manifold M which contains the generators of a free circle action on M and a line bundle L --> M with a flat F-connection del. It is proved that the cohomology groups of the sheaf S-F of sections of L which are covariantly constant along F can be injectively mapped in the cohomology groups of the restriction of S-F on the Bohr-Sommerfeld set Y of the action on ill. In the present paper, we discuss similar results for free torus actions as well as some consequences in the context of the geometric quantization of a symplectic manifold with a Hamiltonian action of a torus T-k. (C) 2001 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Journal or Publication Title: | JOURNAL OF GEOMETRY AND PHYSICS |
| Publisher: | ELSEVIER SCIENCE BV |
| ISSN: | 0393-0440 |
| Date: | July 2001 |
| Volume: | 39 |
| Number: | 1 |
| Number of Pages: | 19 |
| Page Range: | pp. 62-80 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/12137 |
Data sourced from Thomson Reuters' Web of Knowledge
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