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math-ph2013★ 38 cited
Quantum spectral curve for the Gromov-Witten theory of the complex projective line
Petr Dunin-Barkowski, Motohico Mulase, Paul Norbury +2
We construct the quantum curve for the Gromov-Witten theory of the complex projective line.
math.AG2013★ 40 cited
Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula
Petr Dunin-Barkowski, Maxim Kazarian, Nicolas Orantin +2
In this paper we give a new proof of the ELSV formula. First, we refine an argument of Okounkov and Pandharipande in order to prove (quasi-)polynomiality of Hurwitz numbers without…