86 citations · 392 across the 34 of their papers we have counts for
37 papers
Some examples of DG-Lie formality transfer
Marco Manetti, Gabriele Rossetti
We give a convenient reformulation, a slight generalization and some applications of the formality transfer theorem for DG-Lie algebras.
Joint Deformations of Manifolds, Coherent Sheaves and Sections
Donatella Iacono, Marco Manetti
We describe a differential graded Lie algebra controlling infinitesimal deformations of triples , where is a coherent sheaf on a smooth variety …
Semiregularity maps and deformations of modules over Lie algebroids
Ruggero Bandiera, Emma Lepri, Marco Manetti
We determine a DG-Lie algebra controlling deformations of a locally free module over a Lie algebroid . Moreover, for every flat inclusion of Lie algebroids $\mathcal{A…
liftings of semiregularity maps via Chern-Simons classes
Ruggero Bandiera, Emma Lepri, Marco Manetti
We introduce the notion of Chern-Simons classes for curved DG-pairs and we prove that a particular case of this general construction provides canonical liftings of Buchw…
Connections and liftings of semiregularity maps
Emma Lepri, Marco Manetti
Let be a finite complex of locally free sheaves on a complex manifold . We prove that to every connection of type on it is canonically associated an $L_{\inf…
Formality conjecture for minimal surfaces of Kodaira dimension 0
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
Let F be a polystable sheaf on a smooth minimal projective surface of Kodaira dimension 0. Then the DG-Lie algebra RHom(F,F) of derived endomorphisms of F is formal. The proof is b…