Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants

Getzler, E.

doi:10.1090/S0894-0347-97-00246-4

Intersection theory on $\overline {\mathcal {M}}_{1,4}$ and elliptic Gromov-Witten invariants
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by E. Getzler

J. Amer. Math. Soc. 10 (1997), 973-998

DOI: https://doi.org/10.1090/S0894-0347-97-00246-4

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Abstract:

We find a new relation among codimension $2$ algebraic cycles in the moduli space $\bar {\mathcal {M}}_{1,4}$, and use this to calculate the elliptic Gromov-Witten invariants of projective spaces $\mathbb {CP}^2$ and $\mathbb {CP}^3$.

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