The Eynard-Orantin recursion for the total ancestor potential

DOI10.1215/00127094-2690805zbMath1327.14051arXiv1211.5847OpenAlexW2063642294MaRDI QIDQ2510818

Todor Milanov

Publication date: 4 August 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5847

zbMATH Keywords

Gromov-Witten invariantsEynard-Orantin recursionCohomological Field TheoryAncestor potential

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05)

Related Items (8)

Virasoro and KdV ⋮ Analyticity of the total ancestor potential in singularity theory ⋮ Topological recursion and Givental’s formalism: Spectral curves for Gromov-Witten theories ⋮ Primary invariants of Hurwitz Frobenius manifolds ⋮ Reconstructing WKB from topological recursion ⋮ DUBROVIN’S SUPERPOTENTIAL AS A GLOBAL SPECTRAL CURVE ⋮ 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

Cites Work

• Think globally, compute locally
• The structure of 2D semi-simple field theories
• Period mapping associated to a primitive form
• Invariants of algebraic curves and topological expansion
• On the structure of Brieskorn lattice
• Intersection theory on the moduli space of curves and the matrix Airy function
• Identification of the Givental formula with the spectral curve topological recursion procedure
• -constraints for the total descendant potential of a simple singularity
• The spectral curve of the Eynard-Orantin recursion via the Laplace transform
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