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15 June 2014 The Eynard–Orantin recursion for the total ancestor potential
Todor Milanov
Duke Math. J. 163(9): 1795-1824 (15 June 2014). DOI: 10.1215/00127094-2690805

Abstract

It was proved recently that the correlation functions of a semisimple cohomological field theory satisfy the so-called local Eynard–Orantin topological recursion. We prove that in the settings of singularity theory, the local Eynard–Orantin recursion is equivalent to N copies of Virasoro constraints for the total ancestor potential. The latter follow easily from some known properties of the period integrals in singularity theory. Our approach generalizes easily to an arbitrary semisimple cohomological field theory, which yields a simple proof of the local Eynard–Orantin recursion for an arbitrary semisimple cohomological field theory.

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Todor Milanov. "The Eynard–Orantin recursion for the total ancestor potential." Duke Math. J. 163 (9) 1795 - 1824, 15 June 2014. https://doi.org/10.1215/00127094-2690805

Information

Published: 15 June 2014
First available in Project Euclid: 12 June 2014

zbMATH: 1327.14051
MathSciNet: MR3217767
Digital Object Identifier: 10.1215/00127094-2690805

Subjects:
Primary: 14D05
Secondary: 14N35

Rights: Copyright © 2014 Duke University Press

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Vol.163 • No. 9 • 15 June 2014
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