7 citations · 18 across the 8 of their papers we have counts for
9 papers
PD Operads and Explicit Partition Lie Algebras
Lukas Brantner, Ricardo Campos, Joost Nuiten
Infinitesimal deformations are governed by partition Lie algebras. In characteristic , these higher categorical structures are modelled by differential graded Lie algebras, but…
Boardman-Vogt resolutions and bar/cobar constructions of (co)operadic (co)bimodules
Ricardo Campos, Julien Ducoulombier, Najib Idrissi
We develop the combinatorics of leveled trees in order to construct explicit resolutions of (co)operads and (co)operadic (co)bimodules. We build explicit cofibrant resolutions of o…
Lie, associative and commutative quasi-isomorphism
Ricardo Campos, Dan Petersen, Daniel Robert-Nicoud +1
Over a field of characteristic zero, we show that two commutative differential graded (dg) algebras are quasi-isomorphic if and only if they are quasi-isomorphic as associative dg…
A model for framed configuration spaces of points
Ricardo Campos, Julien Ducoulombier, Najib Idrissi +1
We study configuration spaces of framed points on oriented closed smooth manifolds. Such configuration spaces admit natural actions of the framed little discs operads, that play an…
Homotopy equivalence of shifted cotangent bundles
Ricardo Campos
Given a bundle of chain complexes, the algebra of functions on its shifted cotangent bundle has a natural structure of a shifted Poisson algebra. We show that if two such bundles a…
Configuration Spaces of Manifolds with Boundary
Ricardo Campos, Najib Idrissi, Pascal Lambrechts +1
We study ordered configuration spaces of compact manifolds with boundary. We show that for a large class of such manifolds, the real homotopy type of the configuration spaces only…
Gravity Formality
Ricardo Campos, Benjamin C. Ward
We show that Willwacher's cyclic formality theorem can be extended to preserve natural Gravity operations on cyclic multivector fields and cyclic multidifferential operators. We ex…
BV Formality
Ricardo Campos
We prove a stronger version of the Kontsevich Formality Theorem for orientable manifolds, relating the Batalin-Vilkovisky (BV) algebra of multivector fields and the homotopy BV alg…
Operadic Torsors
Ricardo Campos, Thomas Willwacher
We introduce the notion of operadic torsors and operadic quasi-torsors. We show that if an operadic (quasi-)torsor between two operads exists, then these operads are (quasi-)isomor…