Email this article Spectral Algebras and Non-commutative Hodge-to-de Rham Degeneration
- Authors: Kaledin D.B.1,2, Konovalov A.A.2, Magidson K.O.2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- National Research University Higher School of Economics
- Issue: Vol 307, No 1 (2019)
- Pages: 51-64
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175936
- DOI: https://doi.org/10.1134/S0081543819060038
- ID: 175936
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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.
About the authors
D. B. Kaledin
Steklov Mathematical Institute of Russian Academy of Sciences; National Research University Higher School of Economics
Author for correspondence.
Email: kaledin@mi-ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; ul. Myasnitskaya 20, Moscow, 101000
A. A. Konovalov
National Research University Higher School of Economics
Author for correspondence.
Email: kon_an_litsey@list.ru
Russian Federation, ul. Myasnitskaya 20, Moscow, 101000
K. O. Magidson
National Research University Higher School of Economics
Author for correspondence.
Email: kirill.salmi94@gmail.com
Russian Federation, ul. Myasnitskaya 20, Moscow, 101000
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