The totally nonnegative Grassmannian is a ball

The totally nonnegative Grassmannian is a ball

We prove that three spaces of importance in topological combinatorics are homeomorphic to closed balls: the totally nonnegative Grassmannian, the compactification of the space of electrical networks, and the cyclically symmetric amplituhedron.

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2022-03, Vol.397, p.108123, Article 108123
Hauptverfasser: Galashin, Pavel, Karp, Steven N., Lam, Thomas
Format: Artikel
Sprache:eng
Schlagworte:
Amplituhedron
Electrical networks
Grassmannian
Total positivity
Unipotent group
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Beschreibung
Zusammenfassung:We prove that three spaces of importance in topological combinatorics are homeomorphic to closed balls: the totally nonnegative Grassmannian, the compactification of the space of electrical networks, and the cyclically symmetric amplituhedron.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2021.108123