5 citations · 13 across the 18 of their papers we have counts for
18 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 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…
Equivariant operations in topological Hochschild homology
Po Hu, Igor Kriz, Petr Somberg +1
We observe a new equivariant relationship between topological Hochschild homology and cohomology. We also calculate the topological Hochschild homology of the topological Hochschil…
The -equivariant spectrum for an odd prime
Po Hu, Igor Kriz, Petr Somberg +1
In the present paper, we construct a -equivariant analog of the -equivariant spectrum previously constructed by Hu and Kriz. We prove tha…
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…
Loday constructions of Tambara functors
Ayelet Lindenstrauss, Birgit Richter, Foling Zou
Building on work of Hill, Hoyer and Mazur we propose an equivariant version of a Loday construction for -Tambara functors where is an arbitrary finite group. For any finite…
Examples of étale extensions of Green functors
Ayelet Lindenstrauss, Birgit Richter, Foling Zou
We provide new examples of étale extensions of Green functors by transferring classical examples of étale extensions to the equivariant setting. Our examples are Tambara functors,…
Equivariant orientation of vector bundles over disconnected base spaces
Prasit Bhattacharya, Foling Zou
In this paper, we view the equivariant orientation theory of equivariant vector bundles from the lenses of equivariant Picard spectra. This viewpoint allows us to identify, for a f…
The -equivariant dual Steenrod algebra for an odd prime
Po Hu, Igor Kriz, Petr Somberg +1
We completely calculate the -graded coefficients for the constant Mackey functor $\underline{\mathbb{Z…
A geometric approach to equivariant factorization homology and nonabelian Poincaré duality
Foling Zou
Fix a finite group G and an n-dimensional orthogonal G-representation V. We define the equivariant factorization homology of a V-framed smooth G-manifold with coefficients in an $E…
Notes on equivariant bundles
Foling Zou
We compare two notions of -fiber bundles and -principal bundles in the literature, with an aim to clarify early results in equivariant bundle theory that are needed in curren…
Equivariant nonabelian Poincaré duality and equivariant factorization homology of Thom spectra
Jeremy Hahn, Asaf Horev, Inbar Klang +2
In this paper, we study genuine equivariant factorization homology and its interaction with equivariant Thom spectra, which we construct using the language of parametrized higher c…
Unital operads, monoids, monads, and bar constructions
J. P. May, Ruoqi Zhang, Foling Zou
We give a description of unital operads in a symmetric monoidal category as monoids in a monoidal category of unital -sequences. This is a new variant of Kelly's old description…
Loday constructions on twisted products and on tori
Alice Hedenlund, Sarah Klanderman, Ayelet Lindenstrauss +2
We develop a spectral sequence for the homotopy groups of Loday constructions with respect to twisted products in the case where the group involved is a constant simplicial group.…