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Regularity theorem for totally nonnegative flag varieties
Journal of the American Mathematical Society ( IF 3.5 ) Pub Date : 2021-09-24 , DOI: 10.1090/jams/983
Pavel Galashin , Steven N. Karp , Thomas Lam

Abstract:We show that the totally nonnegative part of a partial flag variety $G/P$ (in the sense of Lusztig) is a regular CW complex, confirming a conjecture of Williams. In particular, the closure of each positroid cell inside the totally nonnegative Grassmannian is homeomorphic to a ball, confirming a conjecture of Postnikov.


中文翻译:

完全非负标志变体的正则定理

摘要:我们证明了部分标志变体 $G/P$(在 Lusztig 的意义上)的完全非负部分是一个规则的 CW 复形,证实了 Williams 的猜想。特别是,完全非负的 Grassmannian 内的每个 positroid 单元的闭合与球同胚,证实了 Postnikov 的猜想。
更新日期:2021-09-24
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