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Relations in the quantum cohomology ring of G/B

A. -L. Mare
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Abstract

The ideal of relations in the (small) quantum cohomology ring of the generalized flag manifold $G/B$ has been determined by B. Kim. We are going to point out a limited number of properties that, if they are satisfied by an $R[q_1,...,q_l]$-bilinear product $\circ$ on $H^*(G/B)\otimes R[q_1,...,q_l$, then the ring $(H^*(G/B)\otimes R[q_1,...,q_l],\circ)$ is isomorphic to Kim's ring.

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A. -L. Mare. 2003-11-08. Relations in the quantum cohomology ring of G/B. https://arxiv.org/abs/math/0210026

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