Poset Topology: Tools and Applications

Details Poset Topology: Tools and Applications Poset Topology: Tools and Applications

2006-02-10

arxiv.org/abs/math/0602226v2

Mathematics

Combinatorics

119 pages, to appear in the volume "Geometric Combinatorics" of the IAS/Park City Mathematics series

Scientific paper

These lecture notes for the IAS/Park City Graduate Summer School in Geometric Combinatorics (July 2004) provide an overview of poset topology. These notes include introductory material, as well as recent developments and open problems. Some of the topics covered are: subspace arrangements, graph complexes, group actions on poset homology, shellability, recursive techniques, and fiber theorems.

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