11 citations · 17 across the 6 of their papers we have counts for
8 papers · 1 filter
Identities for generalized Bernoulli numbers from a Lie model of the 2-disk
Urtzi Buijs, José Manuel Moreno Fernández
We define generalized Bernoulli numbers as appropriate coefficients of the Baker--Campbell--Hausdorff (BCH) product formula, extending the classical sequence of rational numbers to…
A recognition principle for iterated suspensions as coalgebras over the little cubes operad
Oisín Flynn-Connolly, José M. Moreno-Fernández, Felix Wierstra
Our main result is a recognition principle for iterated suspensions as coalgebras over the little disks operads. Given a topological operad, we construct a comonad in pointed topol…
On the homotopy fixed points of Maurer-Cartan spaces with finite group actions
José M. Moreno-Fernández, Felix Wierstra
We develop the basic theory of Maurer-Cartan simplicial sets associated to (shifted complete) algebras equipped with the action of a finite group. Our main result assert…
A spectral sequence for tangent cohomology of algebras over algebraic operads
José Moreno-Fernández, Pedro Tamaroff
Operadic tangent cohomology generalizes the existing cohomology theories of Chevalley--Eilenberg, Hochschild, and Harrison to address the deformation theory of general types of alg…
Iterated suspensions are coalgebras over the little disks operad
José M. Moreno-Fernández, Felix Wierstra
We study the Eckmann-Hilton dual of the little disks algebra structure on iterated loop spaces: With the right definitions, every -fold suspension is a coalgebra over the little…
Formality criteria in terms of higher Whitehead brackets
Urtzi Buijs, José M. Moreno-Fernández
We provide two criteria for discarding the formality of a differential graded Lie algebra in terms of higher Whitehead brackets, which are the Lie analogue of the Massey products o…
A-infinity structures and Massey products
Urtzi Buijs, José Manuel Moreno-Fernández, Aniceto Murillo
We show how and when it is possible to detect and recover higher Massey products on the cohomology of a differential graded algebra with higher multiplications on quasi-iso…
Higher order Whitehead products and structures on the homology of a DGL
Francisco Belchí, Urtzi Buijs, José M. Moreno-Fernández +1
We detect higher order Whitehead products on the homology of a differential graded Lie algebra in terms of higher brackets in the transferred structure on vi…