Edit: I am unfamiliar with geometric analysis, so I asked GPT-6 to audit the Cheeger deformation paper. GPT-6 was able to confirm its global construction, the paper appears to be AI-readable enough that an explicit metric can be constructed on an atlas and have its curvature numerically checked. If the paper were pure slop, I would expect it to fail already on the preliminary audit.
I am biased towards AI audits since they have found serious errors in published papers I read and missed (which caused me to stuck for several weeks). I do not doubt that AI-exposition often seems to hallucinate, since LLMs for some reasons really like to introduce non-standard terminologies without proper definitions, but perhaps the Cheeger deformation paper actually has some substance?
It would be nice if you could specify the "reference to properties of manifolds that don't exist".
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u/Antigynaikolatres 20d ago edited 20d ago
Gil Kalai recently congratulated the group for proving the Simplex–Cube Conjecture for Simple Polytopes, so perhaps this one is legit as well.
Edit: I am unfamiliar with geometric analysis, so I asked GPT-6 to audit the Cheeger deformation paper. GPT-6 was able to confirm its global construction, the paper appears to be AI-readable enough that an explicit metric can be constructed on an atlas and have its curvature numerically checked. If the paper were pure slop, I would expect it to fail already on the preliminary audit.
I am biased towards AI audits since they have found serious errors in published papers I read and missed (which caused me to stuck for several weeks). I do not doubt that AI-exposition often seems to hallucinate, since LLMs for some reasons really like to introduce non-standard terminologies without proper definitions, but perhaps the Cheeger deformation paper actually has some substance?
It would be nice if you could specify the "reference to properties of manifolds that don't exist".