paper

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

arXiv:1211.4021 · doi:10.1007/s00220-014-1887-2

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.

36 pages