Reference : Quantization of spectral curves and DQ-modules
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Quantization of spectral curves and DQ-modules
Petit, François mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Journal of Noncommutative Geometry
European Mathematical Society Publishing House
Yes (verified by ORBilu)
[en] Quantization ; DQ-modules ; spectral curve
[en] Given an holomorphic Higgs bundle on a compact Riemann surface of
genus greater than one, we prove the existence of an holonomic 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...) to DQ-modules and
show that a quantum curve and the DQ-module canonically associated to it
have isomorphic sheaves of solutions.
Fonds National de la Recherche - FnR
Researchers ; Professionals
FnR ; FNR5707106 > Martin Schlichenmaier > QUANTMOD > Quantization of Moduli Spaces > 01/09/2014 > 31/03/2017 > 2013

File(s) associated to this reference

Fulltext file(s):

Open access
quantumcurve.pdfAuthor preprint546.35 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.