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Some remarks on formality in families

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arxiv math/0509699 v4 pith:RODOCDC5 submitted 2005-09-29 math.AG

classification math.AG
keywords formalityfamiliesproveresultssomealgebrasknownmore-or-less
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We prove some results on formality for families of DG algebras; in particular, we prove that formality is stable under specialization. The results are more-or-less known, but it seems that there are no published proofs.

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  1. 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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