Relations in the quantum cohomology ring of G/B

A. -L. Mare

Relations in the quantum cohomology ring of G/B

微分几何 2007-05-23 v2 表示论

作者: A. -L. Mare

摘要

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.

引用

@article{arxiv.math/0210026,
  title  = {Relations in the quantum cohomology ring of G/B},
  author = {A. -L. Mare},
  journal= {arXiv preprint arXiv:math/0210026},
  year   = {2007}
}

备注

Final version, substantially improved. To appear in Math. Res. Lett

Relations in the quantum cohomology ring of G/B

摘要

引用

备注

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