QUANTIZATION OF A MODULI SPACE OF PARABOLIC HIGGS BUNDLES-Reference-Cited by-同舟云学术

QUANTIZATION OF A MODULI SPACE OF PARABOLIC HIGGS BUNDLES

Published:2004-11 Issue:09 Volume:15 Page:907-917
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

BISWAS INDRANIL¹,MUKHERJEE AVIJIT²

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India

2. Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22-26, D-04103 Leipzig, Germany

Abstract

Let [Formula: see text] be a moduli space of stable parabolic Higgs bundles of rank two over a Riemann surface X. It is a smooth variety defined over [Formula: see text] equipped with a holomorphic symplectic form. Fix a projective structure [Formula: see text] on X. Using [Formula: see text], we construct a quantization of a certain Zariski open dense subset of the symplectic variety [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X04002594

Reference9 articles.

1. Deformation theory and quantization. I. Deformations of symplectic structures

2. Symplectic Structures on Moduli Spaces of Parabolic Higgs Bundles and Hilbert Scheme

3. Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

4. A simple geometrical construction of deformation quantization

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1. Quantizing the Moduli Space of Parabolic Higgs Bundles;Quantum Groups and Noncommutative Spaces;2011