Quantization of a symplectic manifold associated to a manifold with projective structure

Biswas, Indranil (2009) Quantization of a symplectic manifold associated to a manifold with projective structure Journal of Mathematical Physics, 50 (7). 072101_1-072101_8. ISSN 0022-2488

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Official URL: http://jmp.aip.org/jmapaq/v50/i7/p072101_s1?isAuth...

Related URL: http://dx.doi.org/10.1063/1.3158872

Abstract

Let X be a complex manifold equipped with a projective structure P. There is a holomorphic principal C*-bundle LP' over X associated with P. We show that the holomorphic cotangent bundle of the total space of LP' equipped with the Liouville symplectic form has a canonical deformation quantization. This generalizes the construction in the work of and Ben-Zvi and Biswas ["A quantization on Riemann surfaces with projective structure," Lett. Math. Phys. 54, 73 (2000) ] done under the assumption that dimC X = 1.

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Deposited On:18 Oct 2010 10:22
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