完全非负旗变体的正则性定理

IF 3.5 1区数学 Q1 MATHEMATICS Journal of the American Mathematical Society Pub Date : 2019-04-01 DOI:10.1090/jams/983

Pavel Galashin, S. N. Karp, T. Lam

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引用次数: 36

摘要

我们证明了一个部分标志变量$G/P$（在Lusztig意义上）的完全非负部分是一个正则CW复形，证实了Williams的一个猜想。特别地，在完全非负的Grassmannian中，每个拟阵单元的闭包同胚于球，证实了Postnikov的一个猜想。

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Regularity theorem for totally nonnegative flag varieties

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.

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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