35 citations · 95 across the 9 of their papers we have counts for
10 papers · 1 filter
Rigidification of dendroidal infinity-operads
Peter Bonventre, Luis Alexandre Pereira
We give an explicit description of the rigidification of an -operad as a simplicial operad. This description is based on the notion of dendroidal necklace, extending work o…
On the homotopy theory of equivariant colored operads
Peter Bonventre, Luis Alexandre Pereira
We build model structures on the category of equivariant simplicial operads with weak equivalences determined by families of subgroups, in the context of operads with a varying set…
Equivariant dendroidal sets and simplicial operads
Peter Bonventre, Luis Alexandre Pereira
We establish a Quillen equivalence between the homotopy theories of equivariant Segal operads and equivariant simplicial operads with norm maps. Together with previous work, we fur…
Homotopy theory of equivariant operads with fixed colors
Peter Bonventre, Luis Alexandre Pereira
We build model structures on the category of equivariant simplicial operads with a fixed set of colors, with weak equivalences determined by families of subgroups. In particular, b…
Equivariant dendroidal Segal spaces and --operads
Peter Bonventre, Luis Alexandre Pereira
We introduce the analogues of the notions of complete Segal space and of Segal category in the context of equivariant operads with norm maps, and build model categories with these…
Genuine equivariant operads
Peter Bonventre, Luis A. Pereira
We build new algebraic structures, which we call genuine equivariant operads, which can be thought of as a hybrid between equivariant operads and coefficient systems. We then prove…