Virasoro constraints and the Chern classes of the Hodge bundle
Algebraic Geometry
2009-10-31 v1 High Energy Physics - Theory
Abstract
We analyse the consequences of the Virasoro conjecture of Eguchi, Hori and Xiong for Gromov-Witten invariants, in the case of zero degree maps to the manifolds CP^1 and CP^2 (or more generally, smooth projective curves and smooth simply-connected projective surfaces). We obtain predictions involving intersections of psi and lambda classes on the compactification of M_{g,n}. In particular, we show that the Virasoro conjecture for CP^2 implies the numerical part of Faber's conjecture on the tautological Chow ring of M_g.
Keywords
Cite
@article{arxiv.math/9805114,
title = {Virasoro constraints and the Chern classes of the Hodge bundle},
author = {E. Getzler and R. Pandharipande},
journal= {arXiv preprint arXiv:math/9805114},
year = {2009}
}
Comments
12 pages, latex2e