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The elliptic Gromov-Witten invariants of CP^3

Ezra Getzler
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Abstract

We present two explicit recursions which determine the elliptic Gromov-Witten invariants of CP^3 in terms of the rational ones, and give a table up to degree 5. Unlike the rational Gromov-Witten invariants, the coefficients are negative and fractional. In a further paper, we will prove that N^1_ab + (2n-1)N^0_ab/12 is the number of elliptic space curves through a generic lines and b generic points.

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Ezra Getzler. 1996-12-11. The elliptic Gromov-Witten invariants of CP^3. https://arxiv.org/abs/alg-geom/9612009

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