Geodesic
Spectral sequences on combinatorial simplicial complexes
Journal of Algebraic Combinatorics, Tome 14 (2001) no. 1, pp. 27-48.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The goal of this paper is twofold. First, we give an elementary introduction to the usage of spectral sequences in the combinatorial setting. Second we list a number of applications. In the first group of applications the simplicial complex is the nerve of a poset; we consider general posets and lattices, as well as partition-type posets. Our last application is of a different nature: the $S _{ n}$ mathcalS_n -quotient of the complex of directed forests is a simplicial complex whose cell structure is defined combinatorially.
Keywords: spectral sequences, posets, graphs, homology groups, shellability 
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Kozlov, Dmitry N. Spectral sequences on combinatorial simplicial complexes. Journal of Algebraic Combinatorics, Tome 14 (2001) no. 1, pp. 27-48. http://geodesic.mathdoc.fr/item/JAC_2001__14_1_a3/