4 papers
Dioperads, Frobenius monoidal functors and duality
Valerio Melani, Hugo Pourcelot
Motivated by duality phenomena for derived global sections on derived local systems on compact oriented manifolds, we introduce the notion of a -duality context between symmetri…
Formality criteria for algebras over operads
Valerio Melani, Marcel Rubió
We study some formality criteria for differential graded algebras over differential graded operads. This unifies and generalizes other known approaches like the ones by Manetti and…
The derived moduli stack of shifted symplectic structures
Samuel Bach, Valerio Melani
We introduce and study the derived moduli stack of -shifted symplectic structures on a given derived stack , as introduced by [PTVV] (IHES Vol. 117, 2013…
Poisson bivectors and Poisson brackets on affine derived stacks
Valerio Melani
Let Spec(A) be an affine derived stack. We give two proofs of the existence of a canonical map from the moduli space of shifted Poisson structures (in the sense of Pantev-Toën-Vaqu…