8 citations · 29 across the 18 of their papers we have counts for
9 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…
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…
Relative Loday constructions and applications to higher THH-calculations
Gemma Halliwell, Eva Höning, Ayelet Lindenstrauss +2
We define a relative version of the Loday construction for a sequence of commutative S-algebras and a pointed simplicial subset . We us…
The homotopy theory of equivariant posets
J. P. May, Marc Stephan, Inna Zakharevich
Let be a discrete group. We prove that the category of -posets admits a model structure that is Quillen equivalent to the standard model structure on -spaces. As is alrea…
On the higher topological Hochschild homology of and commutative -group algebras
Irina Bobkova, Ayelet Lindenstrauss, Kate Poirier +2
We extend Torleif Veen's calculation of higher topological Hochschild homology from to for odd, and from to $n\l…
Model categories with simple homotopy categories
Jean-Marie Droz, Inna Zakharevich
In the present article, we describe constructions of model structures on general bicomplete categories. We are motivated by the following question: given a category w…
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…
Scissors Congruence as K-theory
Inna Zakharevich
Scissors congruence groups have traditionally been expressed algebraically in terms of group homology. We give an alternate construction of these groups by producing them as the $0…