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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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11232359 | PMC |
| http://dx.doi.org/10.1007/s11565-024-00500-0 | DOI Listing |
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