Formality of DG algebras (after Kaledin)

Valery A. Lunts

Formality of DG algebras (after Kaledin)

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arxiv 0712.0996 v4 pith:GEOBO6JE submitted 2007-12-06 math.AG math.KT

Valery A. Lunts This is my paper · ORCID

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keywords formalityalgebrasflatresultsbasebehaviorchangefamilies

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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 $A(\infty)$ and DG algebras.

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Some examples of DG-Lie formality transfer
math.RA 2026-01 accept novelty 6.0 of 10

A DG-Lie formality-transfer theorem is extended with a new backward direction and applied to universal enveloping algebras and finite quotients of Kodaira-Spencer algebras.

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