Showing math.ATShow all
3 papers · 1 filter
math.AT2026
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…
math.AT2026
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…
math.AT2025
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…