Abstract
We consider the moduli space \( M_H^S \) of stable parabolic Higgs bundles (of rank 2 for simplicity) over a compact Riemann surface of genus g > 1. This is a smooth variety over ℂ, equipped with a holomorphic symplectic form \( \Omega _H \) . Any symplectic form is known to admit a quantization, but in general the quantization is not unique. We fix a projective structure P on X. Using P we show that there is a canonical quantization of \( {\Omega _H} \) on a certain Zariski open dense subset \( u \subset M_H^S \), once a projective structure P on X has been specified.
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Mukherjee, A. (2011). Quantizing the Moduli Space of Parabolic Higgs Bundles. In: Marcolli, M., Parashar, D. (eds) Quantum Groups and Noncommutative Spaces. Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9831-9_7
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DOI: https://doi.org/10.1007/978-3-8348-9831-9_7
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