Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 254-02. An Artin group with no geometric CAT(0) action

Manuscript map · lines 7415–7424

OpenAI@2026-10-07#rem:oai-p-254-02

Back to manuscript

Authors: OpenAI. Family 254.

Title: An Artin group with no geometric CAT(0) action.

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.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

Nearby in this section