On the face stratification of the $m=2$ amplituhedron

Fuente: arXiv
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Autore principale: Lam, Thomas
Natura: Preprint
Pubblicazione: 2024
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author Lam, Thomas
author_facet Lam, Thomas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_06948
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the face stratification of the $m=2$ amplituhedron
Lam, Thomas
Combinatorics
High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
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.
title On the face stratification of the $m=2$ amplituhedron
topic Combinatorics
High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
url https://arxiv.org/abs/2403.06948