English

Functorial relationships between quantum cohomology of complete and partial flag varieties, (II)

Algebraic Geometry 2013-11-08 v1 Combinatorics

Abstract

We show a canonical injective morphism from the quantum cohomology ring QH(G/P) to the associated graded algebra of QH(G/B), which is with respect to a nice filtration on QH(G/B) introduced by Leung and the author. This tells us the vanishing of a lot of genus zero, three-pointed Gromov-Witten invariants of flag varieties G/P.

Keywords

Cite

@article{arxiv.1311.1660,
  title  = {Functorial relationships between quantum cohomology of complete and partial flag varieties, (II)},
  author = {Changzheng Li},
  journal= {arXiv preprint arXiv:1311.1660},
  year   = {2013}
}

Comments

32 pages. To appear in the Asian Journal of Mathematics