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Some remarks about deformation theory and formality conjecture
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math.AG
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conjectureformalityobjectsalgebraicapplicationautomorphismbandierabounded
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Using the algebraic criterion proved by Bandiera, Manetti and Meazzini, we show the formality conjecture for universally gluable objects with linearly reductive automorphism groups in the bounded derived category of a K3 surface. As an application, we prove the formality conjecture for polystable objects in the Kuznetsov components of Gushel--Mukai threefolds and quartic double solids.
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