Quantum cohomology of flag manifolds and Toda lattices

Details Quantum cohomology of flag manifolds and Toda lattices Quantum cohomology of flag manifolds and Toda lattices

1993-12-13

arxiv.org/abs/hep-th/9312096v1

Commun.Math.Phys. 168 (1995) 609-642

Physics

High Energy Physics

High Energy Physics - Theory

35 pages

Scientific paper

10.1007/BF02101846

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.

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