Salvetti complex, spectral sequences and cohomology of Artin groups
classification
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keywords
artincohomologycomplexgroupssalvettispectralapplicationscomputations
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The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural and useful method to study recursively the cohomology of Artin groups, simplifying many computations. In the last section some examples of applications are presented.
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