1 citations · 1 across the 2 of their papers we have counts for
6 papers
Commutative homotopical algebra embeds into non-commutative homotopical algebra
Ricardo Campos, Dan Petersen, Daniel Robert-Nicoud +1
Over a field of characteristic zero, we show that the forgetful functor from the homotopy category of commutative dg algebras to the homotopy category of dg associative algebras is…
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…
-Hopf invariants
Felix Wierstra
The classical Hopf invariant is an invariant of homotopy classes of maps from to , and is an important invariant in homotopy theory. The goal of this paper is t…
Lie Theory for Complete Curved -algebras
Niek de Kleijn, Felix Wierstra
In this paper we develop the -analog of the Maurer-Cartan simplicial set associated to an -algebra and show how we can use this to study the deformation theory…
The functor of singular chains detects weak homotopy equivalences
Manuel Rivera, Felix Wierstra, Mahmoud Zeinalian
The normalized singular chains of a path connected pointed space may be considered as a connected -coalgebra with the property that the $0^{\text{…
Convolution algebras and the deformation theory of infinity-morphisms
Daniel Robert-Nicoud, Felix Wierstra
Given a coalgebra C over a cooperad, and an algebra A over an operad, it is often possible to define a natural homotopy Lie algebra structure on hom(C,A), the space of linear maps…