11 citations · 37 across the 11 of their papers we have counts for
13 papers
Riemann-Roch theorems in monoidal 2-categories
Jonathan A. Campbell, Kate Ponto
Smooth and proper dg-algebras have an Euler class valued in the Hochschild homology of the algebra. This Euler class is worthy of this name since it satisfies many familiar propert…
-theory of endomorphisms, the -trace, and zeta functions
Jonathan A. Campbell, John A. Lind, Cary Malkiewich +2
We show that the characteristic polynomial and the Lefschetz zeta function are manifestations of the trace map from the -theory of endomorphisms to topological restriction homol…
Spectral Waldhausen categories, the -construction, and the Dennis trace
Jonathan A. Campbell, John A. Lind, Cary Malkiewich +2
We give an explicit point-set construction of the Dennis trace map from the -theory of endomorphisms to topological Hochschild homology $\mathrm{THH…
Facets of the Witt Vectors
Jonathan A. Campbell
We give a -theoretic account of the basic properties of Witt vectors. Along the way we re-prove basic properties of the little-known Witt vector norm, give a characterization of…
Iterated traces in 2-categories and Lefschetz theorems
Jonathan A. Campbell, Kate Ponto
While not obvious from its initial motivation in linear algebra, there are many context where iterated traces can be defined. In this paper we prove a very general theorem about it…
Devissage and Localization for the Grothendieck Spectrum of Varieties
Jonathan A. Campbell, Inna Zakharevich
We introduce a new perspective on the -theory of exact categories via the notion of a CGW-category. CGW-categories are a generalization of exact categories that admit a Qullen $…