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

D.R.A.W. 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. © 2009 The Author(s).
Original languageEnglish
Pages (from-to)399-405
Number of pages7
JournalMathematische Zeitschrift
Volume266
DOIs
Publication statusPublished - 2010

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