Charney's CAT(0) conjecture for Artin groups
Charney's CAT(0) conjecture for Artin groups
Let an Artin group be the group associated to a symmetric matrix with entries in , generated by subject to the braid relations
Here means that there is no defining relation between and . Charney's conjecture. Every Artin group is , meaning that it acts properly and cocompactly on a space. The conjecture has been verified for right-angled Artin groups, namely Artin groups for which every equals or ; the general assertion is therefore no longer open only in that special case.
Sources & referencesView supporting material
Primary source
Barbara Baumeister, Kai-Uwe Bux, Friedrich Götze, Dawid Kielak and Henning Krause, “Non-crossing partitions”, arXiv:1903.01146 (2019).
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