50 citations · 231 across the 36 of their papers we have counts for
20 papers · 1 filter
A model structure for locally constant factorization algebras
Victor Carmona, Ramon Flores, Fernando Muro
Several model structures related to the homotopy theory of locally constant factorization algebras are constructed. This answers a question raised by D. Calaque in his habilitation…
Derived homotopy algebras
Jeroen Maes, Fernando Muro
We develop a theory of minimal models for algebras over an operad defined over a commutative ring, not necessarily a field, extending and supplementing the work of Sagave in the as…
Massey products for algebras over operads
Fernando Muro
We define a generalization of Massey products for algebras over a Koszul operad in characteristic zero, extending Massey's and Allday's and Retah's in the associative and Lie cases…
Homotopy Theory of Bicomplexes
Fernando Muro, Constanze Roitzheim
We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation fun…
Enhanced -infinity obstruction theory
Fernando Muro
We extend the Bousfield-Kan spectral sequence for the computation of the homotopy groups of the space of minimal A-infinity algebra structures on a graded projective module. We use…
Corrections to "Homotopy theory of nonsymmetric operads, I, II"
Fernando Muro
We correct a mistake in the construction of push-outs along free morphisms of algebras over a nonsymmetric operad in arXiv:1101.1634 [math.AT], and we fix the affected results in a…