Spectral algebras and non-commutative Hodge-to-de Rham degeneration (1906.09518v2)

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.