A quantization on Riemann surfaces with projective structure

Ben-Zvi, David ; Biswas, Indranil (2000) A quantization on Riemann surfaces with projective structure Letters in Mathematical Physics, 54 (1). pp. 73-82. ISSN 0377-9017

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Official URL: http://www.springerlink.com/index/Q84828J53P024581...

Related URL: http://dx.doi.org/10.1023/A:1007650202446

Abstract

Let X be a Riemann surface equipped with a projective structure. Let L be a square-root of the holomorphic cotangent bundle Kx. Consider the symplectic form on the complement of the zero section of L obtained by pulling back the symplectic form on Kx using the map v|→v⊗2. We show that this symplectic form admits a natural quantization. This quantization also gives a quantization of the complement of the zero section in Kxequipped with the natural symplectic form.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Projective Structure; Symplectic Structure; Quantization; Moyal-Weyl Algebra
ID Code:3594
Deposited On:18 Oct 2010 10:22
Last Modified:27 Jan 2011 09:57

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