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

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

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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Veröffentlicht in:Mathematische Zeitschrift 2010-10, Vol.266 (2), p.399-405
1. Verfasser: Notbohm, Dietrich
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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 .
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-009-0575-y