V. Sosnilo

activity

20132026

most citedModules over algebraic cobordism

33 citations · 86 across the 18 of their papers we have counts for

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Showing 2025 · math.KTShow all

2 papers · 2 filters

math.KT2025

$c$ -structures and trace methods beyond connective rings

Ishan Levy, Vladimir Sosnilo

We introduce the notion of a $c$ -category, which is a kind of category whose behaviour is controlled by connective ring spectra. More precisely, any $c$ -category admits a finite st…

math.KT2025

Every motive is the motive of a stable $\infty$ -category

Maxime Ramzi, Vladimir Sosnilo, Christoph Winges

We define a class of motivic equivalences of small stable $\infty$ -categories $W_{mot}$ and show that the Dwyer--Kan localization functor $\mathrm{Cat}^{\mathrm{perf}}_\in…

c-structures and trace methods beyond connective rings

Every motive is the motive of a stable ∞-category

$c$ -structures and trace methods beyond connective rings

Every motive is the motive of a stable $\infty$ -category