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We prove that stationary Gromov-Witten invariants of $\bp^1$ arise as the Eynard-Orantin invariants of the spectral curve $x=z+1/z$, $y=\ln{z}$.
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Bouchard, Vincent; Klemm, Albrecht; Mariño, Marcos; Pasquetti, Sara Remodeling the B-Model. Comm. Math. Phys. 287
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Eynard, Bertrand and Orantin, Nicolas Topological recursion in enumerative geometry and random matrices. J. Phys. A: Math. Theor. 42
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Okounkov, A and Pandharipande, R Gromov-Witten theory, Hurwitz numbers, and Matrix models. Proc. Sympos. Pure Math., 80, Part 1, Amer. Math. Soc., Providence, RI, 2009
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Eynard, Bertrand All orders asymptotic expansion of large partitions. arXiv:0804.0381
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Getzler, Ezra Topological recursion relations in genus 2 arxiv:math/9801003
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