Chiodo formulas for the \(r\)-th roots and topological recursion

DOI10.1007/s11005-016-0928-5zbMath1364.14021arXiv1504.07439OpenAlexW3101408668WikidataQ59603392 ScholiaQ59603392MaRDI QIDQ2397387

Danilo Lewanski, Dimitri Zvonkine, Sergey Shadrin, Alexander Popolitov

Publication date: 22 May 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07439

zbMATH Keywords

spectral curveHurwitz numberstopological recursionmoduli of curvesChiodo classes

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

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Cites Work

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• Givental graphs and inversion symmetry
• The spectral curve and the Schrödinger equation of double Hurwitz numbers and higher spin structures
• Orbifold Hurwitz numbers and Eynard-Orantin invariants
• Abelian Hurwitz-Hodge integrals
• The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers
• Twisted \(r\)-spin potential and Givental's quantization
• Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
• Invariants of algebraic curves and topological expansion
• Hurwitz numbers and intersections on moduli spaces of curves.
• Identification of the Givental formula with the spectral curve topological recursion procedure
• Equivalence of ELSV and Bouchard-Mariño conjectures for \(r\)-spin Hurwitz numbers
• Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula
• Double ramification cycles on the moduli spaces of curves
• Mirror symmetry for orbifold Hurwitz numbers
• Invariants of spectral curves and intersection theory of moduli spaces of complex curves
• Compactifying the space of stable maps
• On double Hurwitz numbers with completed cycles
• Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson–Pandharipande–Tseng formula
• Hurwitz numbers, matrix models and enumerative geometry
• Towards an enumerative geometry of the moduli space of twisted curves and rth roots
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures