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math.AT2024★ 1 cited
An obstruction theory for strictly commutative algebras in positive characteristic
Oisín Flynn-Connolly
This is the first in a sequence of articles exploring the relationship between commutative algebras and -algebras in characteristic and mixed characteristic. In this…
math.AT2023★ 1 cited
Higher order Massey products for algebras over algebraic operads
Oisín Flynn-Connolly, José M. Moreno-Fernández
We introduce higher-order Massey products for algebras over algebraic operads. This extends the work of Fernando Muro on secondary ones. We study their basic properties and behavio…
math.AT2022
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…