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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | JOURNAL OF GEOMETRY AND PHYSICS | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0393-0440 | ||||
Official Date: | July 2001 | ||||
Dates: |
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Volume: | 39 | ||||
Number: | 1 | ||||
Number of Pages: | 19 | ||||
Page Range: | pp. 62-80 | ||||
Publication Status: | Published |
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