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

Abstract

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