Francois Petit
Published 2015-07-15Version 1
Given an holomorphic Higgs bundle on a compact Riemann surface of genus greater than one, we construct a DQ-module supported by the spectral curve associated to this bundle. Then, we relate quantum curves arising in various situations (quantization of spectral curves of Higgs Bundles, quantization of the $A$-polynomial...) and DQ-modules and show that DQ-modules provide a suitable framework to study the quantization of spectral curves.
On the moduli space of holomorphic G-connections on a compact Riemann surface
The moduli space of holomorphic chains of rank one over a compact Riemann surface
Note about holomorphic maps on a compact Riemann surface
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