Combinatorial groupoids, cubical complexes, and the Lovasz conjecture

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dc.creatorZivaljevic, Rade T.
dc.date2005-10-10
dc.date2005-10-11
dc.date.accessioned2026-07-07T06:47:19Z
dc.date.available2026-07-07T06:47:19Z
dc.descriptionA foundation is laid for a theory of combinatorial groupoids, allowing us to use concepts like ``holonomy'', ``parallel transport'', ``bundles'', ``combinatorial curvature'' etc. in the context of simplicial (polyhedral) complexes, posets, graphs, polytopes and other combinatorial objects. A new, holonomy-type invariant for cubical complexes is introduced, leading to a combinatorial ``Theorema Egregium'' for cubical complexes non-embeddable into cubical lattices. Parallel transport of Hom-complexes and maps is used as a tool for extending Babson-Kozlov-Lovasz graph coloring results to more general statements about non-degenerate maps (colorings) of simplicial complexes and graphs.
dc.identifierhttps://arxiv.org/abs/math/0510204
dc.identifierhttp://arxiv.org/abs/math/0510204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103615
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.subject20L05; 05C15; 57M15
dc.titleCombinatorial groupoids, cubical complexes, and the Lovasz conjecture
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