On the face stratification of the $m=2$ amplituhedron
Combinatorics
2025-05-06 v3 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.2403.06948,
title = {On the face stratification of the $m=2$ amplituhedron},
author = {Thomas Lam},
journal= {arXiv preprint arXiv:2403.06948},
year = {2025}
}
Comments
12 pages. v2: minor changes. v3: minor changes