On \pi-surfaces of four-dimensional parallelohedra
Metric Geometry
2017-11-15 v1 Combinatorics
Abstract
We show that every four-dimensional parallelohedron P satisfies a recently found condition of Garber, Gavrilyuk & Magazinov sufficient for the Voronoi conjecture being true for P. Namely we show that for every four-dimensional parallelohedron P the group of rational first homologies of its \pi-surface is generated by half-belt cycles.
Keywords
Cite
@article{arxiv.1309.7661,
title = {On \pi-surfaces of four-dimensional parallelohedra},
author = {Alexey Garber},
journal= {arXiv preprint arXiv:1309.7661},
year = {2017}
}
Comments
16 pages, 7 figures