11 citations · 16 across the 4 of their papers we have counts for
5 papers · 1 filter
-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…
Topological Hochschild Homology and Higher Characteristics
Jonathan A. Campbell, Kate Ponto
We show that an important classical fixed point invariant, the Reidemeister trace, arises as a topological Hochschild homology transfer. This generalizes a corresponding classical…
Homotopy Theoretic Classification of Symmetry Protected Phases
Jonathan A. Campbell
We classify a number of symmetry protected phases using Freed-Hopkins' homotopy theoretic classification. Along the way we compute the low-dimensional homotopy groups of a number o…