Gromov-Witten invariants of $\bp^1$ and Eynard-Orantin invariants

Details Gromov-Witten invariants of $\bp^1$ and Eynard-Orantin invariants Gromov-Witten invariants of $\bp^1$ and Eynard-Orantin invariants

2011-06-07

arxiv.org/abs/1106.1337v2

Mathematics

Algebraic Geometry

30 pages, made minor changes

Scientific paper

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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