Virasoro constraints and the Chern classes of the Hodge bundle

E. Getzler*, R. Pandharipande

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

51 Scopus citations

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 ℙ1 and ℙ2 (or more generally, smooth projective curves and smooth simply connected protective surfaces). We obtain predictions involving intersections of psi and lambda classes on M̄g,n. In particular, we show that the Virasoro conjecture for ℙ2 implies the numerical part of Faber's conjecture on the tautological Chow ring of Mg.

Original languageEnglish (US)
Pages (from-to)701-714
Number of pages14
JournalNuclear Physics B
Volume530
Issue number3
DOIs
StatePublished - Oct 19 1998

Keywords

  • Gromov-Witten invariants
  • Topological gravity
  • Virasoro conjecture

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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