Stiefel Manifolds and Coloring the Pentagon

Autor:	Dover, James, ��zayd��n, Murad
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Mathematics - Geometric Topology Mathematics::Combinatorics Computer Science::Discrete Mathematics 57S25 57Q15 05E18 57Q91 57Q40 FOS: Mathematics Geometric Topology (math.GT) Mathematics::Geometric Topology Mathematics::Symplectic Geometry Mathematics::Algebraic Topology
Popis:	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. Comment: Submitted shortened version to Journal of Combinatorial Theory, Series A
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40aedd8f0a59d35c7c2da8df87e76900 http://arxiv.org/abs/1302.2831 Zobrazit plný text záznamu