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math.AT2026
A short proof of the Segal conjecture for
Thomas Nikolaus
We give a new proof of the generalized Segal conjecture for the cyclic group of prime order p, i.e. the fact that the Tate diagonal of any bounded below spectrum is a p-completion.…
math.AT2024
Trace methods for stable categories I: The linear approximation of algebraic K-theory
Yonatan Harpaz, Thomas Nikolaus, Victor Saunier
We study algebraic K-theory and topological Hochschild homology in the setting of bimodules over a stable category, a datum we refer to as a laced category. We show that in this se…