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Virasoro constraints and the Chern classes of the Hodge bundle

E. Getzler·R. Pandharipande
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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.

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BibTeXRIS

E. Getzler, R. Pandharipande. 1998-05-25. Virasoro constraints and the Chern classes of the Hodge bundle. https://doi.org/10.1016/s0550-3213(98)00517-3

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