22 citations · 81 across the 16 of their papers we have counts for
18 papers
Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields
Tom Bachmann, Robert Burklund, Bjørn Ian Dundas +1
We compute the tensor of the multiplicative group scheme with the mod- motivic cohomology spectrum in normed motivic spectra over the complex numbers, and find that the resultin…
The integral motivic dual Steenrod algebra
Bjørn Ian Dundas, Paul Arne Østvær
We calculate the motivic integral dual Steenrod algebra over base schemes for which the mod p motivic dual Steenrod algebra conforms with Voevodsky's formula.
The Multiplicative Structures on Motivic Homotopy Groups
Daniel Dugger, Bjørn Ian Dundas, Daniel C. Isaksen +1
We reconcile the multiplications on the homotopy rings of motivic ring spectra used by Voevodsky and Dugger. While the connection is elementary and similar phenomena have been obse…
Applications of topological cyclic homology to algebraic K-theory
Bjørn Ian Dundas
Algebraic K-theory has applications in a broad range of mathematical subjects, from number theory to functional analysis. It is also fiendishly hard to calculate. Presently there a…
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…
Cubical and cosimplicial descent
Bjørn I. Dundas, John Rognes
We prove that algebraic K-theory, topological Hochschild homology and topological cyclic homology satisfy cubical and cosimplicial descent at connective structured ring spectra alo…