Quantization of spectral curves and DQ-modules
Algebraic Geometry
2015-08-18 v2 Mathematical Physics
math.MP
Quantum Algebra
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 -polynomial...) and DQ-modules and show that DQ-modules provide a suitable framework to study the quantization of spectral curves.
Cite
@article{arxiv.1507.04315,
title = {Quantization of spectral curves and DQ-modules},
author = {Francois Petit},
journal= {arXiv preprint arXiv:1507.04315},
year = {2015}
}
Comments
31 pages, new introduction, references updated