Lecture Notes on Quantum Cohomology of the Flag Manifold

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… CONTINUE READING