Rectangular Diagrams of Foliations

I. A. Dynnikov, M. M. Chernavskikh

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We introduce a concept of a rectangular diagram of a foliation in the $3$-sphere and show that any co-orientable finite depth foliation in the complement of a link can be represented by a rectangular diagram compatible with the given rectangular diagram of the link.

Keywords: knot, link, foliation, rectangular diagram.

Received: June 2, 2025
Revised: August 10, 2025
Accepted: September 11, 2025

DOI: 10.4213/tm4508

 English version: Proceedings of the Steklov Institute of Mathematics, 2025, 330, 63–103

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