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

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arxiv 1211.4021 v1 pith:T23ZI3PJ submitted 2012-11-16 math-ph hep-thmath.AGmath.MP

classification math-phhep-thmath.AGmath.MP
keywords curvespectralformulagiventalgromov-wittenpotentialprocedurerecursion
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 2 Pith papers

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    The Runkel-Watts string is a solvable family of two-dimensional string theories whose all-genus amplitudes are generated by SU(2) Yang-Mills TQFT data combined with VMS quantum volumes, and it has a dual matrix-integr...

  2. $x-y$ swap for $(2,2p+1)$ minimal string

    hep-th 2025-06 conditional novelty 6.0 of 10

    An x-y swapped spectral curve is conjectured to reproduce (2,2p+1) minimal string tachyon correlators without resonance transformations; verified at low genus, with a ground-ring extension that does not match HEM.

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