Topological recursion for the Poincaré polynomial of the combinatorial moduli space of curves

DOI10.1016/j.aim.2012.03.027zbMath1253.14030arXiv1009.2135OpenAlexW2963775013MaRDI QIDQ436238

Motohico Mulase, Michael Penkava

Publication date: 20 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2135

zbMATH Keywords

Deligne-Mumford stackmoduli of curvesGrothendieck's dessins d'enfantsmetric ribbon graphsPenner's matrix modelpsi-classesrecursion of Eynard-Orantin typeVirasoro constraint

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) Coverings of curves, fundamental group (14H30) Lattice points in specified regions (11P21) Families, moduli of curves (analytic) (14H15)

Related Items (15)

Topological recursion for Gaussian means and cohomological field theories ⋮ Formal pseudodifferential operators and Witten's \(r\)-spin numbers ⋮ Handling handles. Part II. Stratification and data analysis ⋮ Painlevé 2 equation with arbitrary monodromy parameter, topological recursion and determinantal formulas ⋮ Integrable differential systems of topological type and reconstruction by the topological recursion ⋮ Edge contraction on dual ribbon graphs and 2D TQFT ⋮ Models of discretized moduli spaces, cohomological field theories, and Gaussian means ⋮ Counting curves on surfaces ⋮ Quantization of spectral curves for meromorphic Higgs bundles through topological recursion ⋮ Topological recursion, topological quantum field theory and Gromov-Witten invariants of BG ⋮ Fuchsian groups, finite simple groups and representation varieties. ⋮ Interplay between opers, quantum curves, WKB analysis, and Higgs bundles ⋮ Multi-trace correlators from permutations as moduli space ⋮ The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–Orantin ⋮ On the homology of certain smooth covers of moduli spaces of algebraic curves

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