English

Graph coloring manifolds

Combinatorics 2007-06-13 v2 Geometric Topology

Abstract

We introduce a new and rich class of graph coloring manifolds via the Hom complex construction of Lovasz. The class comprises examples of Stiefel manifolds, series of spheres and products of spheres, cubical surfaces, as well as examples of Seifert manifolds. Asymptotically, graph coloring manifolds provide examples of highly connected, highly symmetric manifolds.

Keywords

Cite

@article{arxiv.math/0510177,
  title  = {Graph coloring manifolds},
  author = {Peter Csorba and Frank H. Lutz},
  journal= {arXiv preprint arXiv:math/0510177},
  year   = {2007}
}

Comments

19 pages; revised section 3; to appear in "Contemporary Mathematics"