A geometric construction of Getzler's relation
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
A geometric construction of Getzler's cohomological relation in the moduli space of 4 pointed elliptic curves is given by a push-forward of a natural rational equivalence in a space of admissible covers. In particular, Getzler's relation is shown to be a rational equivalence. The recursion for the elliptic Gromov-Witten invariants of P^2 predicted by Eguchi, Hori, and Xiong from the Virasoro conjecture is proven via Getzler's equation and the WDVV-equations.
Cite
@article{arxiv.alg-geom/9705016,
title = {A geometric construction of Getzler's relation},
author = {Rahul Pandharipande},
journal= {arXiv preprint arXiv:alg-geom/9705016},
year = {2008}
}
Comments
Latex2e 14 pages