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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Bibliographische Detailangaben
1. Verfasser: Notbohm, Dietrich
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Topology
Mathematics - Combinatorics
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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.
DOI:10.48550/arxiv.0905.4454