English

Tangential Quantum Cohomology of Arbitrary Order

Algebraic Geometry 2009-02-16 v2

Abstract

J. Kock has previously defined a tangency quantum product on formal power series with coefficients in the cohomology ring of any smooth projective variety, and thus a ring that generalizes the quantum cohomology ring. We further generalize Kock's construction by defining a dth-order contact product and establishing its associativity.

Keywords

Cite

@article{arxiv.math/0611902,
  title  = {Tangential Quantum Cohomology of Arbitrary Order},
  author = {S. J. Colley and G. Kennedy},
  journal= {arXiv preprint arXiv:math/0611902},
  year   = {2009}
}

Comments

18 pages, LaTeX. We correct our paper to work in the correct context, viz., using numerical equivalence (rather than rational equivalence) and explicitly mentioning the Novikov ring

R2 v1 2026-07-22T17:47:07.992Z