Showing math.ATShow all
4 papers · 1 filter
math.AT2026
Surgery on manifold operads
Xujia Chen, Connor Malin, Paolo Salvatore
We study cobordisms of a class of topological operads called ``manifold operads''. These operads are generalizations of the Fulton-MacPherson operad: an operad built from configura…
math.AT2025
Unstable -semiadditivity as classifying Goodwillie towers
Connor Malin
A stable -category is -semiadditive if the norms for all finite group actions are equivalences. In the presence of -semiadditivity, Goodwillie calculus simplifies dra…
math.AT2024
Unstable homotopy groups and Lie algebras
Mark Behrens, Connor Malin
We survey the role of Lie algebras in the study of unstable homotopy groups.
math.AT2024
Koszul duality and a classification of stable Weiss towers
Connor Malin, Niall Taggart
We introduce a version of Koszul duality for categories, which extends the Koszul duality of operads and right modules. We demonstrate that the derivatives which appear in Weiss ca…