K. Ponto

activity

20122021

most citedDuality and traces for indexed monoidal categories

41 citations · 44 across the 4 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AT2020★ 2 cited

$K$ -theory of endomorphisms, the $TR$ -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 $K$ -theory of endomorphisms to topological restriction homol…

math.AT2020★ 1 cited

Spectral Waldhausen categories, the $S_{∙}$ -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 $K$ -theory of endomorphisms $K End (C)$ to topological Hochschild homology $\mathrm{THH…

math.AT2018

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…

K-theory of endomorphisms, the TR-trace, and zeta functions

Spectral Waldhausen categories, the S∙​-construction, and the Dennis trace

Topological Hochschild Homology and Higher Characteristics

$K$ -theory of endomorphisms, the $TR$ -trace, and zeta functions

Spectral Waldhausen categories, the $S_{∙}$ -construction, and the Dennis trace