activity
20182025
most citedMultiplicative equivariant -theory and the Barratt-Priddy-Quillen theorem

1 citations · 2 across the 6 of their papers we have counts for

collaborators

9 papers

math.AT2025

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…

math.AT2025

Realizing compatible pairs of transfer systems by combinatorial -operads

David Chan, Myungsin Cho, David Mehrle +4

We investigate how the notions of pairings of operads of May and compatible pairs of indexing systems of Blumberg--Hill relate via the correspondence between indexing systems and $…

math.CO2025

Enumerating submonoids of finite commutative monoids

Caoilainn Kirkpatrick, Amelie el Mahmoud, Kyle Ormsby +6

Given a finite commutative monoid , we show that submonoids of - where is equipped with the max operation - may be enumerated via t…

math.AT20211 cited

Saturated and linear isometric transfer systems for cyclic groups of order

Usman Hafeez, Peter Marcus, Kyle Ormsby +1

Transfer systems are combinatorial objects which classify operads up to homotopy. By results of A. Blumberg and M. Hill, every transfer system associated to a linear iso…

math.AT20211 cited

Multiplicative equivariant -theory and the Barratt-Priddy-Quillen theorem

Bertrand J. Guillou, J. Peter May, Mona Merling +1

We prove a multiplicative version of the equivariant Barratt-Priddy-Quillen theorem, starting from the additive version proven in arXiv:1207.3459. The proof uses a multiplicative e…

math.AT2021

Self-duality of the lattice of transfer systems via weak factorization systems

Evan E. Franchere, Kyle Ormsby, Angélica M Osorno +2

For a finite group , -transfer systems are combinatorial objects which encode the homotopy category of - operads, whose algebras in -spectra are $G…