Spectral Sequences on Combinatorial Simplicial Complexes |
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Authors: | Dmitry N Kozlov |
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Institution: | (1) School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, NJ, USA |
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Abstract: | 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
-quotient of the complex of directed forests is a simplicial complex whose cell structure is defined combinatorially. |
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Keywords: | spectral sequences posets graphs homology groups shellability |
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