50 citations · 93 across the 14 of their papers we have counts for
14 papers · 1 filter
Koszul duality for topological E_n-operads
Michael Ching, Paolo Salvatore
We show that the Koszul dual of an E_n-operad in spectra is O(n)-equivariantly equivalent to its n-fold desuspension. To this purpose we introduce a new O(n)-operad of Euclidean sp…
Goodwillie Calculus
Gregory Arone, Michael Ching
We survey the theory and applications of Goodwillie's calculus of homotopy functors and related topics.
A nilpotent Whitehead theorem for TQ-homology of structured ring spectra
Michael Ching, John E. Harper
The aim of this short paper is to prove a TQ-Whitehead theorem for nilpotent structured ring spectra. We work in the framework of symmetric spectra and algebras over operads in mod…
Infinity-operads and Day convolution in Goodwillie calculus
Michael Ching
We prove two theorems about Goodwillie calculus and use those theorems to describe new models for Goodwillie derivatives of functors between pointed compactly-generated infinity-ca…
Derived Koszul duality and TQ-homology completion of structured ring spectra
Michael Ching, John E. Harper
Working in the context of symmetric spectra, we consider any higher algebraic structures that can be described as algebras over an operad O. We prove that the fundamental adjunctio…
Manifolds, K-theory and the calculus of functors
Gregory Arone, Michael Ching
The Taylor tower of a functor from based spaces to spectra can be classified according to the action of a certain comonad on the collection of derivatives of the functor. We descri…