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This work develops a new method to calculate non-perturbative corrections in one-dimensional Quantum Mechanics, based on trans-series solutions to the refined holomorphic anomaly equations of topological string theory.
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N. A. Nekrasov and S. L. Shatashvili, Quantization of integrable systems and four dimensional gauge theories , in 16th International Congress on Mathematical Physics, Prague, August 2009, 265-289, World Scientific 2010 , 2009 · 2009
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