Spectral algebras and non-commutative Hodge-to-de Rham degeneration

Abstract

We revisit the non-commutative Hodge-to-de Rham Degeneration Theorem of the first author, and present its proof in a somewhat streamlined and improved form that explicitly uses spectral algebraic geometry. We also try to explain why topology is essential to the proof.

LaTeX2e, 21 pages. Technical changes: one of the co-authors changed his affiliation, another changed his last name