Quantum cohomology of Grassmannians and affine algebras
نویسنده
چکیده
We discuss a new approach to the quantum cohomology ring of a Grassmannian. This ring is also isomorphic to the Verlinde algebra. We present a formula for the quantum product of Schubert classes (3-point GromovWitten invarints), or, equivalently, for the fusion product in sl(k). The main combinatorial tool is a cylindric analogue of Young tableux. The formula immediately implies several new identities and symmetries for the GromovWitten invariants of a Grassmannian.
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تاریخ انتشار 2002