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Quantum Curve and the First Painlev\'e Equation
We show that the topological recursion for the (semi-classical) spectral
curve of the first Painlev\'e equation gives a WKB solution for the
isomonodromy problem for . In other words, the isomonodromy system
is a quantum curve in the sense of [Dumitrescu O., Mulase M., Lett. Math. Phys.
104 (2014), 635-671, arXiv:1310.6022] and [Dumitrescu O., Mulase M.,
arXiv:1411.1023]
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