Local version of the spectral curve topological recursion

Sergey Shadrin (Universiteit van Amsterdam)

Tuesday 5th February, 2013 15:00-16:00 Maths 416


We explain a version of the topological recursion procedure of Eynard and Orantin for a collection of isolated local germs of the spectral curve. Under some conditions we can identify the n-point functions computed from spectral curve with the Givental formula for the ancestor formal Gromov-Witten potential. In particular, this way we prove a conjecture of Norbury and Scott on a particular spectral curve reproducing the stationary sector of the Gromov-Witten theory of the projective line and the Bouchard-Marino conjecture on a particular spectral curve for Hurwitz numbers.

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