PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 66(80), pp. 91--100 (1999)
Lecture notes on quantum cohomology of the flag manifold
Sergey FominDepartment of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139
Abstract: 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  and the quadratic algebra approach . The notes are largely based on the papers  and , 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
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