19 citations · 43 across the 7 of their papers we have counts for
6 papers · 1 filter
Cellular approximations for nonsymmetric homotopy operads
Eduardo Hoefel, Grigory Solomadin
In this note, for every topological colored nonsymmetric operad with CW spaces in each arity we construct a homotopy isomorphism with a CW homotopy operad (i.e. all higher homotopi…
Operads of moduli spaces of points in revisited
Vladimir Dotsenko, Eduardo Hoefel, Sergey Shadrin +1
We study the operad structure on the homology of moduli spaces of pointed rooted trees of -dimensional projective spaces, introduced by Chen, Gibney and Krashen a couple of deca…
On the deformation complex of homotopy affine actions
Eduardo Hoefel, Muriel Livernet, Alexandre Quesney
An affine action of an associative algebra on a vector space is an algebra morphism , where is a vector space and …
-actions and Recognition of Relative Loop Spaces
Eduardo Hoefel, Muriel Livernet, Jim Stasheff
We show that relative loop spaces are recognized by -actions. A certain version of the 2-sided bar construction is used to prove such recognition theorem. The operad ${\s…
On the Spectral Sequence of the Swiss-cheese Operad
Eduardo Hoefel, Muriel Livernet
We prove that the homology of the Swiss-cheese operad is a Koszul operad. As a consequence, we obtain that the spectral sequence associated to the stratification of the compactific…
Explicit Homotopy Equivalences Between Some Operads
Eduardo Hoefel
In this work we present an explicit operad morphism that is also a homotopy equivalence between the operad given by the real Fulton MacPherson compactification of configuration spa…