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math.AT2026
Koszul duality and Morita categories
Max Blans
We prove an -categorical version of Koszul duality for operads and cooperads in spectra by showing that there is an equivalence between a Morita category of operads and…
math.AT2026
The product rule in Goodwillie calculus
Max Blans, Thomas Blom
In this paper, we prove a product rule for Goodwillie derivatives: given a differentiable -category whose stabilization is equivalent to the -category…
math.AT2026
A characterization of the spectral Lie operad
Max Blans, Gijs Heuts
In this paper we study the structure of the -category of spectral Lie algebras. We show that this -category admits an interesting symmetric monoidal structure, defi…
math.AT2024
On the chain rule in Goodwillie calculus
Max Blans, Thomas Blom
We prove a generalization of the Arone-Ching chain rule for Goodwillie derivatives by showing that for any pair of reduced finitary functors …