50 citations · 93 across the 14 of their papers we have counts for
18 papers
Dual tangent structures for infinity-toposes
Michael Ching
We describe dual notions of tangent bundle for an infinity-topos, each underlying a tangent infinity-category in the sense of Bauer, Burke and the author. One of those notions is L…
Tangent -categories and Goodwillie calculus
Kristine Bauer, Matthew Burke, Michael Ching
We make precise the analogy between Goodwillie's calculus of functors in homotopy theory and the differential calculus of smooth manifolds by introducing a higher-categorical frame…
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…