Quantum cohomology of flag manifolds G/B and quantum Toda lattices

Mathematics – Algebraic Geometry

Scientific paper

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19 pages, published version

Scientific paper

We prove the Givental conjecture that the (equivariant) quantum cohomology of
flag manifolds G/B are governed by the conservation law of Toda lattices. In
addition, we find the quantum differential module structure of the flag
manifolds.

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