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We construct the quantum curve for the Gromov-Witten theory of the complex projective line.
T. Eguchi and S.-K. Yang, The topological ℙ 1 \mathbb{P}^{1} model and the large- N N matrix integral , Modern Phys. Lett. A 9
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M. Aganagic, R. Dijkgraaf, A. Klemm, M. Mariño, and C. Vafa, Topological Strings and Integrable Hierarchies , Comm. Math. Phys. 261
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L. Chekhov, B. Eynard, and N. Orantin, Free energy topological expansion for the 2-matrix model , JHEP 0612:053 (2006)
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A. Okounkov and R. Pandharipande, Gromov-Witten theory, Hurwitz theory, and completed cycles. Ann. of Math. (2) 163
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B. Eynard and N. Orantin, Invariants of algebraic curves and topological expansion , Communications in Number Theory and Physics 1
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R. Dijkgraaf, L. Hollands P. Sułkowski, and C. Vafa, Supersymmetric gauge theories, intersecting branes and free Fermions , Journal of High Energy Physics 0802.106
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R. Dijkgraaf, L. Hollands, and P. Sułkowski, Quantum curves and 𝒟 {\mathcal{D}} -modules , Journal of High Energy Physics 0810.4157
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2009
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Guo-Niu Han, Hook lengths and shifted parts of partitions, Ramanujan J. 23
2010
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B. Eynard and M. Mariño, A holomorphic and background independent partition function for matrix models and topological strings , J. Geom. Phys. 61
2011
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2012
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S. Gukov and P. Sułkowski, A-polynomial, B-model, and quantization , Journal of High Energy Physics, 2012:70 (2012)
2012
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2012
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2013
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2011
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2013
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