Preprint in the OpenAI Math release
An Artin group with no geometric CAT(0) action
OpenAI
Abstract
We construct an Artin group on 116 generators that admits no proper, cocompact isometric action on a nonempty proper CAT(0) space. This refutes the CAT(0) conjecture for Artin groups.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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