Gromov–Witten invariants of ℙ1 and Eynard–Orantin invariants

By Paul T. Norbury, Nick Scott. 2011

73 citations recorded by the source corpus.

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 $\bp^1$.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a1b44989df879f1a81b09644a77117ef0c15f58c

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In Applied Mathematics

1. B. Eynard

In Geometry and Topology

1. B. Eynard
2. Marcos Mariño
3. N. Orantin
4. L. Chekhov
5. R. Schiappa
6. D. Stanford
7. Sara Pasquetti
8. Guillaume Chapuy

In Mathematical Physics

1. B. Eynard
2. Marcos Mariño
3. N. Orantin
4. Tudor Dimofte

Citations in the corpus

• Invariants of spectral curves and intersection theory of moduli spaces of complex curves (2011, background): “In [28], Norbury and Scott claim that the Gromov–Witten invariants of P1 (4.”