Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces

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We show that coloring properties of a simplicial complex K are reflected by splitting properties of a bundle over the associated Davis-Januszkiewicz space whose Chern classes are given by the elementary symmetric polynomials in the generators of the Stanley-Reisner algebra of K.
8 pages

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Algebraic Topology, Combinatorics, 55R10, 57R22, 05C15

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http://salesiana.dossiersoluciones.com/handle/123456789/231487

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.4454
 http://arxiv.org/abs/0905.4454

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arXiv