%0 Journal Article %T Quantum cohomology of partial flag manifolds %A Anders Skovsted Buch %J Mathematics %D 2003 %I arXiv %X We give elementary geometric proofs of the main theorems about the (small) quantum cohomology of partial flag varieties SL(n)/P, including the quantum Pieri and quantum Giambelli formulas and the presentation. %U http://arxiv.org/abs/math/0303245v1