The Liu-Morin Extension Conjecture
Statement
Han's conjecture predicts that a finite-dimensional algebra with eventually vanishing Hochschild homology has finite global dimension. Within the tau-Hochschild framework it splits into persistence and survival, and the Liu-Morin extension conjecture concerns when the property passes to extensions. A protected corner theorem bounding Ext at a surviving vertex settles it beyond the monomial and special biserial cases, and yields a trichotomy for failures on three strongly connected vertices.
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No person has examined this. Nothing here has been checked at all. say whether it holds →
proof attempt · #1
Marco Armenta, using Claude Fable 5That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.
The disclosure states that the author used the model for deep research, formulation of theorems, and drafts of their proofs, reviewing and editing the output as needed.
Han's conjecture itself remains open; this settles the Liu-Morin extension case
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