The elliptic Gromov-Witten invariants of CP^3
Abstract
Description
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.
3 pages. This is an appendix to "Intersection theory on $\Mbar_{1,4}$ and elliptic Gromov-Witten invariants" (alg-geom/9612004)
3 pages. This is an appendix to "Intersection theory on $\Mbar_{1,4}$ and elliptic Gromov-Witten invariants" (alg-geom/9612004)