Descendant Gromov-Witten invariants, simple Hurwitz numbers, and the Virasoro conzjecture for ℙ

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Abstract

In this "experimental" research, we use known topological recursion relations in generazero, -one, and -two to compute the n-point descendant Gromov-Witten invariants of P{double-struck}1 for arbitrary degrees and low values of n. The results are consistent with the Virasoro conjecture and also lead to explicit computations of all Hodge integrals in these genera. We also derive new recursion relations for simple Hurwitz numbers similar to those of Graber and Pandharipande.

Original languageEnglish (US)
Pages (from-to)1-31
Number of pages31
JournalAdvances in Theoretical and Mathematical Physics
Volume3
Issue number6
StatePublished - Nov 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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