Asian Journal of Mathematics
Volume 19 (2015)
Functorial relationships between $QH* (G/B)$ and $QH* (G/P)$, II
Pages: 203 – 234
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 $G/P$.
quantum cohomology, flag varieties, filtered algebras, Gromov-Witten invariants
2010 Mathematics Subject Classification