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Quantization and contact structure on manifolds with projective structure

✍ Scribed by Indranil Biswas; Rukmini Dey

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 134 KB
Volume: 42
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00004-9

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✦ Synopsis

We consider complex manifolds with a class of holomorphic coordinate functions satisfying the condition that each transition function is given by the standard action on CP 2n-1 of some element in Sp(2n, C)/Z 2 . We show that such a manifold has a natural contact structure. Given any contact manifold, one can associate with it a symplectic manifold. It is shown that the symplectic manifolds arising from complex manifolds with special coordinate functions of the above type admit a canonical quantization.

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