Quotientopes
Combinatorics
2019-06-04 v3 Metric Geometry
Abstract
For any lattice congruence of the weak order on , N. Reading proved that glueing together the cones of the braid fan that belong to the same congruence class defines a complete fan. We prove that this fan is the normal fan of a polytope.
Cite
@article{arxiv.1711.05353,
title = {Quotientopes},
author = {Vincent Pilaud and Francisco Santos},
journal= {arXiv preprint arXiv:1711.05353},
year = {2019}
}
Comments
14 pages, 9 figures; Version 3: Minor changes