A categorification of cyclotomic rings

Laugwitz, Robert; Qi, You

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: Jan 21, 2023
• Journal: Quantum Topology
• Print ISSN: 1663-487X
• Electronic ISSN: 1664-073X
• Publisher: European Mathematical Society
• 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