17 citations · 77 across the 17 of their papers we have counts for
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Cumulants, Koszul brackets and homological perturbation theory for commutative and algebras
Ruggero Bandiera
We explore the relationship between the classical constructions of cumulants and Koszul brackets, showing that the former are an expontial version of the latter. Moreover, under so…
Polyvector fields and polydifferential operators associated with Lie pairs
Ruggero Bandiera, Mathieu Stiénon, Ping Xu
We prove that the spaces and $\operatorname{tot}\big(Γ(Λ^\bullet A^\vee)\otime…
Shifted derived Poisson manifolds associated with Lie pairs
Ruggero Bandiera, Zhuo Chen, Mathieu Stiénon +1
We study the shifted analogue of the "Lie--Poisson" construction for algebroids and we prove that any algebroid naturally gives rise to shifted derived Poisso…
How to discretize the differential forms on the interval
Ruggero Bandiera, Florian Schaetz
We provide explicit quasi-isomorphisms between the following three algebraic structures associated to the unit interval: i) the commutative dg algebra of differential forms, ii) th…
A trick to compute certain Manin products of operads
Ruggero Bandiera
We describe simple tricks to compute the Manin black products with the operads , and .
Formality of Kapranov's brackets in Kähler geometry via pre-Lie deformation theory
Ruggero Bandiera
We recover some recent results by Dotsenko, Shadrin and Vallette on the Deligne groupoid of a pre-Lie algebra, showing that they follow naturally by a pre-Lie variant of the PBW Th…
Nonabelian higher derived brackets
Ruggero Bandiera
Let M be a graded Lie algebra, together with graded Lie subalgebras L and A such that as a graded space M is the direct sum of L and A, and A is abelian. Let D be a degree one deri…