Stiefel Manifolds and Coloring the Pentagon
Geometric Topology
2013-02-13 v1
Abstract
We prove Csorba's conjecture that the Lov\'asz complex Hom(C_5,K_n) of graph multimorphisms from the 5-cycle C_5 to the complete graph K_n is Z/2Z-equivariantly homeomorphic to the Stiefel manifold, V(n-1,2), the space of (ordered) orthonormal 2-frames in R^{n-1}. The equivariant piecewise-linear topology that we need is developed along the way.
Keywords
Cite
@article{arxiv.1302.2831,
title = {Stiefel Manifolds and Coloring the Pentagon},
author = {James Dover and Murad Özaydın},
journal= {arXiv preprint arXiv:1302.2831},
year = {2013}
}
Comments
Submitted shortened version to Journal of Combinatorial Theory, Series A