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On the face stratification of the \(m=2\) amplituhedron

© 2025 by the author(s). Learn more.

Published Web Location

https://doi.org/10.5070/C65465669
Creative Commons 'BY' version 4.0 license
Abstract

We define and study the face stratification of the \(m=2\) amplituhedron. We show that the face poset is an upper order ideal in the face poset of the totally nonnegative Grassmannian. Our construction is consistent with earlier work of Lukowski, and we confirm various predictions of Lukowski.

Mathematics Subject Classifications: 05E14, 52B40

Keywords: Total positivity, amplituhedron, Grassmannian


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