Identification of the Givental Formula with the Spectral Curve Topological Recursion Procedure

By Petr Dunin-Barkowski, N. Orantin, Sergey Shadrin, L. Spitz. 2012

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We identify the Givental formula for the ancestor formal Gromov–Witten potential with a version of the topological recursion procedure for a collection of isolated local germs of the spectral curve. As an application we prove a conjecture of Norbury and Scott on the reconstruction of the stationary sector of the Gromov–Witten potential of $${\mathbb{C}{\rm P}^1}$$CP1 via a particular spectral curve.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fb1e0eb04f4f436191fecc2ca62a349acd80426f