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math.AG2022★ 1 cited
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…
math.AT2022
Jeff Smith's Theory of Ideals
Robert R. Bruner, Daniel C. Isaksen
In 2006, Jeff Smith proposed a theory of ideals for rings in a triangulated symmetric monoidal category such as ring spectra or DGAs. We show that his definition is equivalent to a…
math.AT2022★ 2 cited
-motivic -periodic homotopy
Eva Belmont, Daniel C. Isaksen, Hana Jia Kong
We compute the -periodic -motivic stable homotopy groups. The main tool is the effective slice spectral sequence. Along the way, we also analyze -motiv…