Stiefel manifolds and coloring the pentagon

DOI10.1016/j.jcta.2013.09.006zbMath1279.05048arXiv1302.2831OpenAlexW2130701569MaRDI QIDQ392810

James Dover, Murad Özaydın

Publication date: 15 January 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2831

zbMATH Keywords

group actionStiefel manifoldsgraph morphism complexesPL topology

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Equivariant PL-topology (57Q91)

Cites Work

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• Kneser's conjecture, chromatic number, and homotopy
• A short proof of \(w_{1}^n (\text{Hom}(C_{2r+1}, K_{n+2})) = 0\) for all \(n\) and a graph colouring theorem by Babson and Kozlov
• Graph colorings, spaces of edges and spaces of circuits
• Splitting necklaces
• Morse theory for cell complexes
• Complexes of graph homomorphisms
• Proof of the Lovász conjecture
• Collapsing along monotone poset maps
• Small models of graph colouring manifolds and the Stiefel manifolds \(\Hom(C_{5},K_n)\)
• Cobounding odd cycle colorings
• On a Topological Generalization of a Theorem of Tverberg
• Existence and uniqueness of equivariant triangulations of smooth proper G-manifolds with some applications to equivariant Whitehead torsion
• Oriented Matroids

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