2 citations · 3 across the 3 of their papers we have counts for
5 papers
-Ring structures on the -theory of assemblers and point counting
Inna Zakharevich
We construct a monoidal structure on the category of assemblers. As an application of this, we construct a derived local zeta-function which takes a variety over a finite field to…
-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…
Splittings and calculational techniques for higher THH
Irina Bobkova, Eva Höning, Ayelet Lindenstrauss +3
Tensoring finite pointed simplicial sets with commutative ring spectra yields important homology theories such as (higher) topological Hochschild homology and torus homology. We pr…
Simplicial Polytope Complexes and Deloopings of -theory
Inna Zakharevich
This paper is a continuation of our previous work in which we defined the notion of a polytope complex and its -theory. In this paper we produce formulas for the delooping of a…