Projective Structure, Symplectic Connection and Quantization
Identifieur interne : 001072 ( Main/Exploration ); précédent : 001071; suivant : 001073Projective Structure, Symplectic Connection and Quantization
Auteurs : Indranil Biswas [Inde]Source :
- Letters in Mathematical Physics [ 0377-9017 ] ; 2002-06-01.
English descriptors
Abstract
Abstract: Let X be a connected Riemann surface equipped with a projective structure $$\mathfrak{p}$$ . 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 $$\mathfrak{p}$$ , this symplectic form is quantized. A moduli space of Higgs bundles on a compact Riemann surface has a natural holomorphic symplectic structure. Using $$\mathfrak{p}$$ , a quantization of this symplectic form over a Zariski open subset of the moduli space of Higgs bundles is constructed.
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DOI: 10.1023/A:1016219109364
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