作者:Lam, Thomas; Shimozono, Mark
作者单位:University of Michigan System; University of Michigan; Virginia Polytechnic Institute & State University
摘要:Let G be a simple and simply-connected complex algebraic group, P aS,aEuro parts per thousand G a parabolic subgroup. We prove an unpublished result of D. Peterson which states that the quantum cohomology QH (*)(G/P) of a flag variety is, up to localization, a quotient of the homology H (*)(Gr (G) ) of the affine Grassmannian Gr (G) of G. As a consequence, all three-point genus-zero Gromov-Witten invariants of G/P are identified with homology Schubert structure constants of H (*)(Gr (G) ), est...
作者:Garban, Christophe; Pete, Gabor; Schramm, Oded
作者单位:Centre National de la Recherche Scientifique (CNRS); Ecole Normale Superieure de Lyon (ENS de LYON); University of Toronto; Microsoft