1 citations · 1 across the 5 of their papers we have counts for
5 papers
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 of…
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…
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…
A Theorem of the Heart for K-theory of Endomorphisms
Victor Saunier
We show that Quillen's resolution theorem for K-theory also applies to exact -categories. We introduce heart structures on a stable -category, generalizing weight s…
The Fundamental Theorem of Localizing Invariants
Victor Saunier
We prove a generalization of the fundamental theorem of algebraic K-theory for Verdier-localizing functors by extending the proof for algebraic K-theory of spaces to the realm of s…