Cohen-Macaulay and Gorenstein complexes from a topological point of view
Algebraic Topology
2007-05-23 v1 Commutative Algebra
Abstract
The main invariant to study the combinatorics of a simplicial complex is the associated face ring or Stanley-Reisner algebra. Reisner respectively Stanley explained in which sense Cohen-Macaulay and Gorenstein properties of the face ring are reflected by geometric and/or combinatoric properties of the simplicial complex. We give a new proof for these result by homotopy theoretic methods and constructions. Our approach is based on ideas used very successfully in the analysis of the homotopy theory of classifying spaces.
Keywords
Cite
@article{arxiv.math/0508292,
title = {Cohen-Macaulay and Gorenstein complexes from a topological point of view},
author = {Dietrich Notbohm},
journal= {arXiv preprint arXiv:math/0508292},
year = {2007}
}
Comments
26 pages