{"id":"openai-math/Harmonic-heights-and-the-Artin-K-pi-1-conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/Harmonic-heights-and-the-Artin-K-pi-1-conjecture-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Harmonic-heights-and-the-Artin-K-pi-1-conjecture-September-23-2026","tags":["geometric-group-theory","artin-groups","aspherical-spaces","topology"],"score":0,"title":"Harmonic heights and the Artin K(pi,1) conjecture","domain":"Group theory","family":"254","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"We prove that the standard Salvetti complex of every Artin group with finitely many standard generators is aspherical. This resolves the Artin $`K(\\pi,1)`$ conjecture in finite rank.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":true,"family_title":"Classifying spaces and geometric obstructions for Artin groups"}