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arXiv · 2112.12436

On the big quantum cohomology of coadjoint varieties

Nicolas Perrin·Maxim Smirnov
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Abstract

This paper is devoted to the study of the quantum cohomology of coadjoint varieties of simple algebraic groups across all Dynkin types. We determine the non-semisimple factors of the small quantum cohomology ring and relate them to ADE-singularities. Moreover, we show that the big quantum cohomology of a coadjoint variety is always generically semisimple even though in most cases the small quantum cohomology is not.

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Nicolas Perrin, Maxim Smirnov. 2021-12-23. On the big quantum cohomology of coadjoint varieties. https://arxiv.org/abs/2112.12436

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