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

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

2009-05-27

arxiv.org/abs/0905.4454v1

Mathematics

Algebraic Topology

8 pages

Scientific paper

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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