2 citations · 3 across the 3 of their papers we have counts for
5 papers
Coherence for bicategories, lax functors, and shadows
Cary Malkiewich, Kate Ponto
Coherence theorems are fundamental to how we think about monoidal categories and their generalizations. In this paper we revisit Mac Lane's original proof of coherence for monoidal…
-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…
The equivariant parametrized -cobordism theorem, the non-manifold part
Cary Malkiewich, Mona Merling
We construct a map from the suspension -spectrum of a smooth compact -manifold to the equivariant -theory spectrum , and we show that its fiber is,…
Coassembly is a homotopy limit map
Cary Malkiewich, Mona Merling
We prove a claim by Williams that the coassembly map is a homotopy limit map. As an application, we show that the homotopy limit map for the coarse version of equivariant -theor…