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A Quantization on Riemann Surfaces with Projective Structure

โœ Scribed by David Ben-Zvi; Indranil Biswas


Book ID
110252747
Publisher
Springer
Year
2000
Tongue
English
Weight
111 KB
Volume
54
Category
Article
ISSN
0377-9017

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Indranil Biswas; A.K. Raina ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

In earlier work we developed an algebraic geometric approach to the notion of a projective structure on a compact Riemann surface and obtained various equivalent descriptions. This was motivated by Mathematical Physics, viz. conformal field theory, which also motivated the subsequent generalisation

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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