Spaces of Lorentzian and real stable polynomials are Euclidean balls
Combinatorics
2023-06-22 v5 Geometric Topology
Abstract
We prove that projective spaces of Lorentzian and real stable polynomials are homeomorphic to closed Euclidean balls. This solves a conjecture of June Huh and the author. The proof utilizes and refines a connection between the symmetric exclusion process in Interacting Particle Systems and the geometry of polynomials.
Keywords
Cite
@article{arxiv.2012.04531,
title = {Spaces of Lorentzian and real stable polynomials are Euclidean balls},
author = {Petter Brändén},
journal= {arXiv preprint arXiv:2012.04531},
year = {2023}
}
Comments
Fixed some issues with compactness in the case of real stable polynomials