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arXiv · 0905.4454

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

Dietrich Notbohm
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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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Dietrich Notbohm. 2009-05-27. Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces. https://arxiv.org/abs/0905.4454

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