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

D.R.A.W. Notbohm

doi:10.1007/s00209-009-0575-y

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

D.R.A.W. Notbohm

Mathematics

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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. © 2009 The Author(s).

Original language	English
Pages (from-to)	399-405
Number of pages	7
Journal	Mathematische Zeitschrift
Volume	266
DOIs	https://doi.org/10.1007/s00209-009-0575-y
Publication status	Published - 2010

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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. {\textcopyright} 2009 The Author(s).",

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

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