4 citations · 7 across the 7 of their papers we have counts for
10 papers · 1 filter
The Chromatic Fourier Transform
Tobias Barthel, Shachar Carmeli, Tomer M. Schlank +1
We develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height , as well…
Evaluation maps and transfers for free loop spaces II
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
In our previous paper, we constructed and studied a functorial extension of the evaluation map to transfers along finite covers. In this paper, we s…
Evaluation maps and transfers for free loop spaces I
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
We construct and study a functorial extension of the evaluation map to transfers along finite covers. For finite covers of classifying spaces of fi…
Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra
Gregory Arone, Ilan Barnea, Tomer M. Schlank
In a companion paper [ABS1] we introduced the stable -category of noncommutative CW-spectra, which we denoted . Let denote the full spectrally e…
Noncommutative CW-spectra as enriched presheaves on matrix algebras
Gregory Arone, Ilan Barnea, Tomer M. Schlank
Motivated by the philosophy that -algebras reflect noncommutative topology, we investigate the stable homotopy theory of the (opposite) category of -algebras. We focus on…
Ambidexterity and Height
Shachar Carmeli, Tomer M. Schlank, Lior Yanovski
We introduce and study the notion of \emph{semiadditive height} for higher semiadditive -categories, which generalizes the chromatic height. We show that the higher semiadd…