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arXiv · 1507.04315

Quantization of spectral curves and DQ-modules

Francois Petit
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Abstract

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.

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Francois Petit. 2015-07-15. Quantization of spectral curves and DQ-modules. https://arxiv.org/abs/1507.04315

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