From the 3 of 10 linked papers with an AI index.
10 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,…
Spoke topological Hochschild homology
Gabriel Angelini-Knoll, Foling Zou
Fix primes and , and let be the cyclic group of order . We compute the -equivariant spoke topological Hochschild homology of …
Real Hochschild homology as an equivariant Loday construction
Ayelet Lindenstrauss, Birgit Richter, Foling Zou
Equivariant Loday constructions are a means for providing geometric interpretations of equivariant homology theories. They are usually constructed for a simplicial -set and a $G…
On the Kelly monoidal structure of -sequences and unital operads
Aowen Fan, Foling Zou
Let be the category of based finite sets and based injections. We study properties of monoids and modules in -sequences under the Kelly monoidal structure. In…