3 papers
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 of…
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.KT2023
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…