Multipoint series of Gromov-Witten invariants of ℂℙ1

E. Getzler, A. Okounkov, R. Pandharipande

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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
Issue number2
Publication statusPublished - Nov 2002
Externally publishedYes


  • Gromov-Witten invariants
  • Toda lattice


Dive into the research topics of 'Multipoint series of Gromov-Witten invariants of ℂℙ1'. Together they form a unique fingerprint.

Cite this