6 papers
Characterizing Transfer Systems for Non-Abelian Groups
Sarah Klanderman, Chloe Lewis, Harlea Monson +2
For a finite group , the notion of a -transfer system provides homotopy theorists with a combinatorial way to study equivariant objects. In this paper, we focus on the proper…
Maximal compatibility of disklike -transfer systems
David DeMark, Michael A. Hill, Yigal Kamel +4
Transfer systems are a combinatorial model for -operads, which encode commutative structures in equivariant homotopy theory. Blumberg--Hill and Chan gave criteria for w…
On the Tambara Affine Line
David Chan, David Mehrle, J. D. Quigley +2
Tambara functors are the analogue of commutative rings in equivariant algebra. Nakaoka defined ideals in Tambara functors, leading to the definition of the Nakaoka spectrum of prim…
The algebraic structure of twisted topological Hochschild homology
Danika Van Niel
Topological Hochschild homology (THH) is an invariant of ring spectra developed by Bökstedt. In recent years many equivariant analogues to THH have emerged. One example is twisted…
The spectrum of the Burnside Tambara functor
Maxine Elena Calle, David Chan, David Mehrle +3
We compute the spectrum of prime ideals in the Burnside Tambara functor over an arbitrary finite group. Our proof uses recent advances in the commutative algebra of Tambara functor…
Characterizing model structures on finite posets
Kristen Mazur, Angélica M. Osorno, Constanze Roitzheim +3
Transfer systems on finite posets have recently been gaining traction as a key ingredient in equivariant homotopy theory. Additionally, they also naturally occur in the data of a m…