Projective structure, symplectic connection and quantization

Biswas, Indranil (2002) Projective structure, symplectic connection and quantization Letters in Mathematical Physics, 60 (3). pp. 239-256. ISSN 0377-9017

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Official URL: http://www.springerlink.com/content/ddtwny5jb04hyb...

Related URL: http://dx.doi.org/10.1023/A:1016219109364

Abstract

Let X be a connected Riemann surface equipped with a projective structure p. Let E be a holomorphic symplectic vector bundle over X equipped with a flat connection. There is a holomorphic symplectic structure on the total space of the pullback of E to the space of all nonzero holomorphic cotangent vectors on X. Using \frak p, this symplectic form is quantized. A moduli space of Higgs bundles on a compact Riemann surface has a natural holomorphic symplectic structure. Using , a quantization of this symplectic form over a Zariski open subset of the moduli space of Higgs bundles is constructed.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Flat Connection; Higgs Bundle; Projective Structure; Quantization
ID Code:3618
Deposited On:18 Oct 2010 10:19
Last Modified:18 Oct 2010 10:19

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