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A categorification of cyclotomic rings

Laugwitz, Robert; Qi, You

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Authors

You Qi



Abstract

For any natural number n≥2, we construct a triangulated monoidal category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers On​. This construction provides an affirmative resolution to a problem raised by Khovanov in 2005.

Citation

Laugwitz, R., & Qi, Y. (2023). A categorification of cyclotomic rings. Quantum Topology, 13(3), 539-577. https://doi.org/10.4171/qt/172

Journal Article Type Article
Acceptance Date Mar 21, 2021
Online Publication Date Jan 21, 2023
Publication Date Jan 21, 2023
Deposit Date Apr 9, 2021
Publicly Available Date Mar 28, 2024
Journal Quantum Topology
Print ISSN 1663-487X
Electronic ISSN 1664-073X
Publisher European Mathematical Society - EMS - Publishing House GmbH
Peer Reviewed Peer Reviewed
Volume 13
Issue 3
Pages 539-577
DOI https://doi.org/10.4171/qt/172
Keywords Geometry and Topology; Mathematical Physics
Public URL https://nottingham-repository.worktribe.com/output/5437816
Publisher URL https://ems.press/journals/qt/articles/9127415
Additional Information Robert Laugwitz, You Qi, A categorification of cyclotomic rings. Quantum Topol. 13 (2022), no. 3, pp. 539–577

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