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Preprint in the OpenAI Math release

Harmonic heights and the Artin K(pi,1) conjecture

OpenAI

Abstract

We prove that the standard Salvetti complex of every Artin group with finitely many standard generators is aspherical. This resolves the Artin conjecture in finite rank.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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