4 papers
Orbital presheaves in equivariant infinite loop space theory
Hana Jia Kong, J. Peter May, Foling Zou
Let be a finite group. Using a new kind of operad, we axiomatize and explore an infinite loop space machine that constructs (genuine) -spectra from suitably structured funct…
The homotopical monadicity theorem
Hana Jia Kong, J. Peter May, Foling Zou
We give an axiomatic homotopical analog of the classical categorical Beck monadicity theorem. It often holds when classical monadicity fails. This grew out of an understanding of a…
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…
The slice spectral sequence for a motivic analogue of the connective -local sphere
Hana Jia Kong, J. D. Quigley
We compute the slice spectral sequence for the motivic stable homotopy groups of , a motivic analogue of the connective -local sphere over prime fields of characteristic n…