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Trudy Matematicheskogo Instituta imeni V.A. Steklova, Forthcoming paper
DOI: https://doi.org/10.4213/tm4508 (Mi tm4508) 		 
Rectangular diagrams of foliations

I. A. Dynnikov, M. M. Chernavskikh

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/tm4508
Abstract: A concept of a rectangular diagram of a foliation in the three-sphere is introduced. It is shown that any co-orientable finite depth foliation in the complement of a link admits a presentation by a rectangular diagram compatible with the given rectangular diagram of the link.
Keywords: knot, link, foliation, rectangular diagram
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2025-303
This work was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2025-303).
Received: June 2, 2025
Revised: August 10, 2025
Accepted: September 11, 2025
Document Type: Article
MSC: 57K10, 57R30
Language: Russian
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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