Anick's Sullivan-model conjecture
Anick's Sullivan-model conjecture
Let be a minimal Sullivan algebra with , , and fix . A relative Sullivan algebra is elliptic when its relevant cohomology and generating space are finite dimensional, and it is minimal as a non-relative Sullivan algebra in the stated sense when the relative construction is also minimal after forgetting the base. Anick's Sullivan-model conjecture. There is an elliptic relative Sullivan algebra which is even minimal as a non-relative Sullivan algebra and satisfies . The source presents this as a Sullivan-algebra reformulation of Anick's conjecture; no resolution is stated in the supplied text.
Sources & referencesView supporting material
Primary source
Manuel Amann, “The Omnibus Conjecture—disproved”, arXiv:2011.01827 (2020).
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