# Identification of the Givental formula with the spectral curve topological recursion procedure

Research paper by P. Dunin-Barkowski, N. Orantin, S. Shadrin, L. Spitz

Indexed on: 16 Nov '12Published on: 16 Nov '12Published in: Mathematical Physics

#### Abstract

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 $\CP1$ via a particular spectral curve.