Euler characteristics in the quantum K-theory of flag varieties
Euler characteristics in the quantum K-theory of flag varieties
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DOI：
10.1007/s00029-020-00557-7
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发表时间：
2020
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影响因子：
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通讯作者：
Leonardo C. Mihalcea
中科院分区：
文献类型：
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作者：
Anders S. Buch;Sjuvon Chung;Changzheng Li;Leonardo C. Mihalcea
We prove that the sheaf Euler characteristic of the product of a Schubert class and an.opposite Schubert class in the quantum K-theory ring of a (generalized) flag variety.G/P is equal to qd, where d is the smallest degree of a rational curve joining the.two Schubert varieties. This implies that the sum of the structure constants of any.product of Schubert classes is equal to 1. Along the way, we provide a description of.the smallest degree d in terms of its projections to flag varieties defined by maximal.parabolic subgroups.
