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math.KT2025
-perfection and group completion of -monoids
Maxime Ramzi, Maria Yakerson
We study -monoids on which a prime acts invertibly, which we call -perfect, in the non-group-complete situation. In particular, we prove that in many exam…
math.KT2023
The motivic Adams conjecture
Alexey Ananyevskiy, Elden Elmanto, Oliver Röndigs +1
We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof we obtain a motivic version of mod k Dold…
math.KT2019★ 5 cited
The unit map of the algebraic special linear cobordism spectrum
Maria Yakerson
In joint work with Elmanto, Hoyois, Khan and Sosnilo, we computed infinite -loop spaces of motivic Thom spectra, using the technique of framed correspondences. This r…