Interplay between opers, quantum curves, WKB analysis, and Higgs bundles
DOI10.3842/SIGMA.2021.036zbMath1469.14067arXiv1702.00511OpenAlexW3155239135MaRDI QIDQ2023811
Motohico Mulase, Olivia Dumitrescu
Publication date: 3 May 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.00511
mirror symmetryWKB approximationHiggs fieldAiry functionquantum invariantstopological recursionquantum curvenon-abelian Hodge correspondenceopersHitchin spectral curveRees \(\mathcal{D}\)-module
Rational and ruled surfaces (14J26) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Topological field theories in quantum mechanics (81T45) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Families, moduli of curves (analytic) (14H15) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
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