11 papers · 1 filter
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 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 p…
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 …
Equivariant Steenrod Operations
Prasit Bhattacharya, Alex Waugh, Mingcong Zeng +1
We introduce the notion of -Eulerian sequences for any -ring spectrum of finite orientation order. We prove that each -Eule…