Spectral Algebras and Non-commutative Hodge-to-de Rham Degeneration


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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.

作者简介

D. Kaledin

Steklov Mathematical Institute of Russian Academy of Sciences; National Research University Higher School of Economics

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Email: kaledin@mi-ras.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991; ul. Myasnitskaya 20, Moscow, 101000

A. Konovalov

National Research University Higher School of Economics

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Email: kon_an_litsey@list.ru
俄罗斯联邦, ul. Myasnitskaya 20, Moscow, 101000

K. Magidson

National Research University Higher School of Economics

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Email: kirill.salmi94@gmail.com
俄罗斯联邦, ul. Myasnitskaya 20, Moscow, 101000

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