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arXiv · 1211.4021

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

P. Dunin-Barkowski·N. Orantin·S. Shadrin·L. Spitz
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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.

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P. Dunin-Barkowski, N. Orantin, S. Shadrin, L. Spitz. 2012-11-16. Identification of the Givental formula with the spectral curve topological recursion procedure. https://doi.org/10.1007/s00220-014-1887-2

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