28 citations · 87 across the 15 of their papers we have counts for
16 papers
A motivic analogue of the K(1)-local sphere spectrum
William Balderrama, Kyle Ormsby, J. D. Quigley
We identify the motivic -local sphere as the fiber of on -completed Hermitian -theory, over any base scheme containing . This is a motivic analogue of…
Composition closed premodel structures and the Kreweras lattice
Scott Balchin, Ethan MacBrough, Kyle Ormsby
We investigate the rich combinatorial structure of premodel structures on finite lattices whose weak equivalences are closed under composition. We prove that there is a natural ref…
Hochschild homology of mod- motivic cohomology over algebraically closed fields
Bjørn Ian Dundas, Michael A. Hill, Kyle Ormsby +1
We perform Hochschild homology calculations in the algebro-geometric setting of motives. The motivic Hochschild homology coefficient ring contains torsion classes which arise from…
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…
Model structures on finite total orders
Scott Balchin, Kyle Ormsby, Angélica M. Osorno +1
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order , we enume…
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…