From the 3 of 4 linked papers with an AI index.
4 papers
Group completions and the homotopical monadicity theorem
Hana Jia Kong, J. Peter May, Foling Zou
This paper is divided into three parts. In the first part, we give the general abstract axiomatic theory and treat the classical examples of infinite loop space machines with struc…
Orbital presheaves in equivariant infinite loop space theory
Hana Jia Kong, J. Peter May, Foling Zou
The paper develops an operadic infinite loop space machine that builds genuine G‑spectra from orbital presheaves, providing a new operadic view of Mackey functors and defining asso…
The homotopical monadicity theorem
Hana Jia Kong, J. Peter May, Foling Zou
The paper proves a homotopical version of Beck’s monadicity theorem, providing axioms that ensure an adjunction is monadic in homotopy theory even when the classical theorem fails,…
Real syntomic cohomology
Gabriel Angelini-Knoll, Hana Jia Kong, J. D. Quigley
We introduce a theory of syntomic cohomology for ring spectra with involution, which we call Real syntomic cohomology. We show that our construction extends the theory of syntomic…