Geodesic
Lecture Notes on Quantum Cohomology of the Flag Manifold
Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 91

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This is an exposition of some recent developments related to the object in the title, particularly the computation of the Gromov-Witten invariants of the flag manifold [5] and the quadratic algebra approach [6]. The notes are largely based on the papers [5] and [6], authored jointly with S.~Gelfand, A.~N.~Kirillov, and A.~Postnikov. This is by no means an exhaustive survey of the subject, but rather a casual introduction to its combinatorial aspects.
Classification : 14N35 05E15 
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     author = {Sergey Fomin},
     title = {Lecture {Notes} on {Quantum} {Cohomology} of the {Flag} {Manifold}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {91 },
     publisher = {mathdoc},
     volume = {_N_S_66},
     number = {80},
     year = {1999},
     zbl = {1058.14068},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a5/}
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Sergey Fomin. Lecture Notes on Quantum Cohomology of the Flag Manifold. Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 91 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a5/