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

@article{DuninBarkowski2014IdentificationOT, title={Identification of the Givental Formula with the Spectral Curve Topological Recursion Procedure}, author={Petr Dunin-Barkowski and Nicolas Orantin and Sergey Shadrin and L. Spitz}, journal={Communications in Mathematical Physics}, year={2014}, volume={328}, pages={669-700} }

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.

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