Tangency quantum cohomology

Joachim Kock*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)


Let X be a smooth projective variety. Using modified psi classes on the stack of genus-zero stable maps to X, a new associative quantum product is constructed on the cohomology space of X. When X is a homogeneous variety, this structure encodes the characteristic numbers of rational curves in X, and specialises to the usual quantum product upon resetting the parameters corresponding to the modified psi classes. For X= ℙ2, the product is equivalent to that of the contact cohomology of Ernström and Kennedy.

Original languageEnglish
Pages (from-to)165-178
Number of pages14
JournalCompositio Mathematica
Issue number1
Publication statusPublished - Jan 2004


  • Enumerative geometry
  • Gromov-Witten invariants
  • Quantum cohomology


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