Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces
Algebraic Topology
2009-05-28 v1 Combinatorics
Abstract
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.
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Cite
@article{arxiv.0905.4454,
title = {Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces},
author = {Dietrich Notbohm},
journal= {arXiv preprint arXiv:0905.4454},
year = {2009}
}
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8 pages