{"id":"openai-math/A-Modulus-Proof-of-Cannons-Conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/A-Modulus-Proof-of-Cannons-Conjecture-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/A-Modulus-Proof-of-Cannons-Conjecture-September-23-2026","tags":["geometric-group-theory","hyperbolic-groups","topology"],"score":0,"title":"A Modulus Proof of Cannon’s Conjecture","domain":"Group theory","family":"246","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"We prove that every hyperbolic group whose boundary is homeomorphic to the two-sphere admits a proper cocompact isometric action on hyperbolic three-space with finite kernel. This resolves Cannon's conjecture positively.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Cannon's conjecture"}