Formality of DG algebras (after Kaledin)
Valery A. Lunts
TL;DR
This paper establishes foundational results on the formality of differential graded (DG) algebras, including flat base change and behavior in flat families, clarifying and extending previous work by Kaledin.
Contribution
It provides rigorous proofs and proper foundations for Kaledin's main results on DG algebra formality, including new insights into flat base change and family behavior.
Findings
Flat base change for formality established
Behavior of formality in flat families clarified
Rigorous proofs provided for previous results
Abstract
We provide proper foundations and proofs for the main results of [Ka]. The results include a flat base change for formality and behavior of formality in flat families of and DG algebras.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra