The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–Orantin

DOI10.1007/978-3-0348-0645-9_11zbMath1315.14054arXiv1210.2106OpenAlexW1557146383MaRDI QIDQ5498852

Motohico Mulase

Publication date: 11 February 2015

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2106

zbMATH Keywords

Laplace transformmirror symmetrytopological recursionhigher-genus Catalan numbers

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) 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) Lattice points in specified regions (11P21) Families, moduli of curves (analytic) (14H15) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (3)

Feynman diagrams, ribbon graphs, and topological recursion of Eynard-Orantin ⋮ Recursions and asymptotics of intersection numbers ⋮ The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–Orantin

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral curves and the Schrödinger equations for the Eynard-Orantin recursion
• Volume conjecture: refined and categorified
• The Kontsevich constants for the volume of the moduli of curves and topological recursion
• Topological recursion for the Poincaré polynomial of the combinatorial moduli space of curves
• Polynomial recursion formula for linear Hodge integrals
• The volume conjecture, perturbative knot invariants, and recursion relations for topological strings
• The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers
• Topological strings and integrable hierarchies
• Remodeling the B-model
• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
• Invariants of algebraic curves and topological expansion
• Combinatorics of dispersionless integrable systems and universality in random matrix theory
• Intersection theory on the moduli space of curves and the matrix Airy function
• Plane curves associated to character varieties of 3-manifolds
• Torus knots and mirror symmetry
• Counting lattice points in the moduli space of curves
• All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
• Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture
• Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture
• Mirror symmetry for orbifold Hurwitz numbers
• Weil-Petersson volumes and intersection theory on the moduli space of curves
• Meet homological mirror symmetry
• Homological Algebra of Mirror Symmetry
• A-Polynomial, B-Model, and Quantization
• The spectral curve of the Eynard-Orantin recursion via the Laplace transform
• UNIFIED DESCRIPTION OF CORRELATORS IN NON-GAUSSIAN PHASES OF HERMITIAN MATRIX MODEL
• The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–Orantin

This page was built for publication: The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–Orantin