G. Arone

activity

20052024

most citedOn the rational homology of high dimensional analogues of spaces of long knots

33 citations · 115 across the 24 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AT2021

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 $\infty$ -category of noncommutative CW-spectra, which we denoted $NSp$ . Let $M$ denote the full spectrally e…

math.AT2021

Noncommutative CW-spectra as enriched presheaves on matrix algebras

Gregory Arone, Ilan Barnea, Tomer M. Schlank

Motivated by the philosophy that $C^{*}$ -algebras reflect noncommutative topology, we investigate the stable homotopy theory of the (opposite) category of $C^{*}$ -algebras. We focus on…

math.AT2021

Embedding obstructions in $R^{d}$ from the Goodwillie-Weiss calculus and Whitney disks

Gregory Arone, Vyacheslav Krushkal

Given a finite CW complex $K$ , we use a version of the Goodwillie-Weiss tower to formulate an obstruction theory for embedding $K$ into a Euclidean space $R^{d}$ . For $2$ -di…

Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra

Noncommutative CW-spectra as enriched presheaves on matrix algebras

Embedding obstructions in Rd from the Goodwillie-Weiss calculus and Whitney disks

Embedding obstructions in $R^{d}$ from the Goodwillie-Weiss calculus and Whitney disks