PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 66(80), pp. 91100 (1999) 

Lecture notes on quantum cohomology of the flag manifoldSergey FominDepartment of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139Abstract: This is an exposition of some recent developments related to the object in the title, particularly the computation of the GromovWitten 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 (MSC2000): 14N35; 05E15 Full text of the article:
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