The totally nonnegative Grassmannian is a ball

被引：8
|
作者：
Galashin, Pavel [1 ]
Karp, Steven N. [2 ]
Lam, Thomas [3 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, 520 Portola Plaza,Math Sci Bldg, Los Angeles, CA 90095 USA
[2] Univ Quebec Montreal, LaCIM, CP 8888,Succ Ctr Ville, Montreal, PQ H3C 3P8, Canada
[3] Univ Michigan, Dept Math, 2074 East Hall,530 Church St, Ann Arbor, MI 48109 USA
来源：
ADVANCES IN MATHEMATICS | 2022年 / 397卷
基金：
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词：
Total positivity; Grassmannian; Unipotent group; ORDER; PART;
D O I：
10.1016/j.aim.2021.108123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that three spaces of importance in topological com-binatorics are homeomorphic to closed balls: the totally non -negative Grassmannian, the compactification of the space of electrical networks, and the cyclically symmetric amplituhe-dron. (c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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页数：23
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