The totally nonnegative Grassmannian is a ball
Combinatorics
2022-06-08 v3 High Energy Physics - Theory
Geometric Topology
Abstract
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.
Cite
@article{arxiv.1707.02010,
title = {The totally nonnegative Grassmannian is a ball},
author = {Pavel Galashin and Steven N. Karp and Thomas Lam},
journal= {arXiv preprint arXiv:1707.02010},
year = {2022}
}
Comments
19 pages. v2: Exposition improved in many places. v3: Final version