Categorifying reduced rings

Ishan Levy

doi:10.4171/qt/228

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Categorifying reduced rings

Ishan Levy
University of Copenhagen, Copenhagen, Denmark

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Abstract

Given a domain of characteristic zero $R$ , we functorially construct a rigid symmetric monoidal dg-category whose $K_{0}$ is $R$ , solving a problem of Khovanov. We also functorially construct, for any reduced commutative ring $R$ , a rigid braided monoidal dg-category whose $K_{0}$ is $R$ .

Cite this article

Ishan Levy, Categorifying reduced rings. Quantum Topol. (2024), published online first

DOI 10.4171/QT/228