6 citations · 8 across the 5 of their papers we have counts for
7 papers
Lie and pre-Lie theory of Novikov algebras
Ruggero Bandiera, Frédéric Patras
Novikov algebras provide a simple but powerful algebraic axiomatization of important features of classical diferential calculus. We study their structure properties, modeling their…
Kapranov algebras
Ruggero Bandiera, Seokbong Seol, Mathieu Stiénon +1
Given any Kähler manifold , Kapranov discovered an algebra structure on . Motivated by this result, we introduce, as a generalization o…
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…
A closed-formula solution to the color-trace decomposition problem
Ruggero Bandiera, Carlos R. Mafra
In these notes we present a closed-formula solution to the problem of decomposing traces of Lie algebra generators into symmetrized traces and structure constants. The solution is…
Deformations of polystable sheaves on surfaces: quadraticity implies formality
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
We study relations between the quadraticity of the Kuranishi family of a coherent sheaf on a complex projective scheme and the formality of the DG-Lie algebra of its derived endomo…
Eulerian idempotent, pre-Lie logarithm and combinatorics of trees
Ruggero Bandiera, Florian Schaetz
The aim of this paper is to bring together the three objects in the title. Recall that, given a Lie algebra , the Eulerian idempotent is a canonical projection from t…