3 papers
math.AT2026
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…
math.KT2025
On exact categories and their stable envelopes
Victor Saunier, Christoph Winges
We show that Klemenc's stable envelope of exact -categories induces an equivalence between stable -categories with a bounded heart structure and weakly idempotent c…
math.KT2025
A model for the assembly map of bordism-invariant functors
Jordan Levin, Guglielmo Nocera, Victor Saunier
We study oplax colimits of stable categories, of hermitian categories and of Poincaré categories in nice cases. This allows us to produce a categorical model of the assembly map o…