On D. Peterson's presentation of quantum cohomology of $G/P$

Chi Hong Chow

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arXiv · 2210.17382

On D. Peterson's presentation of quantum cohomology of $G/P$

Chi Hong Chow

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Abstract

We prove in full generality that the $T$-equivariant quantum cohomology of any flag variety $G/P$ is isomorphic to the coordinate ring of a stratum of the Peterson scheme associated to the Langlands dual group scheme $G^{\vee}$. This result was discovered by Dale Peterson but remains unpublished. Our isomorphism is constructed using Yun-Zhu's isomorphism and Peterson-Lam-Shimozono's homomorphism.

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Chi Hong Chow. 2022-10-31. On D. Peterson's presentation of quantum cohomology of $G/P$. https://arxiv.org/abs/2210.17382

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