An invitation to 2D TQFT and quantization of Hitchin spectral curves

DOI10.4064/bc114-3zbMath1428.14046arXiv1705.05969OpenAlexW2962933308MaRDI QIDQ4581200

Motohico Mulase, Olivia Dumitrescu

Publication date: 23 August 2018

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05969

Mathematics Subject Classification ID

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)

Related Items

Edge contraction on dual ribbon graphs and 2D TQFT, Models of discretized moduli spaces, cohomological field theories, and Gaussian means, A journey from the Hitchin section to the oper moduli, Quantum curves as quantum distributions

Cites Work

• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
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• Cohomological structure in soliton equations and Jacobian varieties
• The A-polynomial from the noncommutative viewpoint
• Hitchin integrable systems, deformations of spectral curves, and KP-type equations
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Lectures on the Topological Recursion for Higgs Bundles and Quantum Curves
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