Quantum cohomology of flag manifolds and Toda lattices |
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| Authors: | Alexander Givental Bumsig Kim |
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| Affiliation: | (1) Dept. of Math., University of California, 94720 Berkeley, CA, USA |
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| Abstract: | We discuss relations of Vafa's quantum cohomology with Floer's homology theory, introduce equivariant quantum cohomology, formulate some conjectures about its general properties and, on the basis of these conjectures, compute quantum cohomology algebras of the flag manifolds. The answer turns out to coincide with the algebra of regular functions on an invariant lagrangian variety of a Toda lattice.Supported by Alfred P. Sloan Foundation |
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