Gromov-Witten invariants of bp¹ and Eynard-Orantin invariants
classification
🧮 math.AG
math.SG
keywords
invariantsgromov-wittenariseeynard-orantinapplicationasymptoticscurvecurves
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We prove that stationary Gromov-Witten invariants of $\bp^1$ arise as the Eynard-Orantin invariants of the spectral curve $x=z+1/z$, $y=\ln{z}$. As an application we show that tautological intersection numbers on the moduli space of curves arise in the asymptotics of large degree Gromov-Witten invariants of $\bp^1$.
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