Multipoint series of Gromov-Witten invariants of ℂℙ1

E. Getzler, A. Okounkov, R. Pandharipande

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We derive explicit formulas for the multipoint series of ℂℙ1 in degree 0 from the Toda hierarchy, using the recursions of the Toda hierarchy. The Toda equation then yields inductive formulas for the higher degree multipoint series of ℂℙ1. We also obtain explicit formulas for the Hodge integrals ∫M̄g,n ψk11 . . . ψknnλg-i, in the cases i = 0 and 1.

Original languageEnglish
Pages (from-to)159-170
Number of pages12
JournalLetters in Mathematical Physics
Volume62
Issue number2
DOIs
Publication statusPublished - Nov 2002
Externally publishedYes

Keywords

  • Gromov-Witten invariants
  • Toda lattice

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