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

Bumsig Kim
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Abstract

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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Bumsig Kim. 1999-01-01. Quantum cohomology of flag manifolds G/B and quantum Toda lattices. https://arxiv.org/abs/alg-geom/9607001

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