Quantum cohomology of isotropic Grassmannians -- 
Harry Tamvakis, November 1, 2002 

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We describe the main results about the small quantum cohomology
rings of Lagrangian and orthogonal Grassmannians: the ring
presentation, quantum Pieri and Giambelli formulas, and the
relation between the Gromov-Witten invariants in both cases
(joint work with Andrew Kresch). We will also discuss a recent
extension of these results to sub-maximal isotropic
Grassmannians, which is work in progress (with Anders Buch and
Kresch).