Academic Journal

Quantum cohomology of flag manifolds and Toda lattices.

Bibliographic Details
Title: Quantum cohomology of flag manifolds and Toda lattices.
Authors: Givental, Alexander, Kim, Bumsig
Superior Title: Communications in Mathematical Physics; 1995, Vol. 168 Issue 3, p609-641, 33p
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. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
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