Spectral curves and the Schrödinger equations for the Eynard-Orantin recursion

DOI10.4310/ATMP.2015.v19.n5.a2zbMath1342.81458arXiv1210.3006OpenAlexW3098252720MaRDI QIDQ294006

Motohico Mulase, Piotr Sułkowski

Publication date: 9 June 2016

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3006

zbMATH Keywords

partition functionSchrödinger equationSchur functionHurwitz numbersspectral curvesEynard-Orantin recursion

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Enumeration in graph theory (05C30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Special algebraic curves and curves of low genus (14H45) Lattice points in specified regions (11P21) Families, moduli of curves (analytic) (14H15) Mirror symmetry (algebro-geometric aspects) (14J33)

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