The elliptic Gromov-Witten invariants of CP^3
alg-geom
2008-02-03 v1 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9612009,
title = {The elliptic Gromov-Witten invariants of CP^3},
author = {Ezra Getzler},
journal= {arXiv preprint arXiv:alg-geom/9612009},
year = {2008}
}
Comments
3 pages. This is an appendix to "Intersection theory on $\Mbar_{1,4}$ and elliptic Gromov-Witten invariants" (alg-geom/9612004)