Rectangular Diagrams of Foliations

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.

Authors

Ivan Dynnikov (ORCID: https://orcid.org/0000-0002-4235-8401)
Mikhail Chernavskikh (ORCID: https://orcid.org/0000-0001-9513-7891)

Institutions

Russian Academy of Sciences (RU)
Steklov Mathematical Institute (RU)

Publication Details

Journal: Proceedings of the Steklov Institute of Mathematics
Published: 2025-09-01
DOI: https://doi.org/10.1134/s0081543825601224
Primary Topic: Geometric and Algebraic Topology
Type: article
Field-Weighted Citation Impact: 0.00

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article

Rectangular Diagrams of Foliations

Ivan Dynnikov, Mikhail Chernavskikh

Sep 1, 2025

Proceedings of the Steklov Institute of Mathematics

Geometric and Algebraic Topology

article

Rectangular Diagrams of Foliations

Ivan Dynnikov, Mikhail Chernavskikh

September 1, 2025article en

Abstract

Proceedings of the Steklov Institute of MathematicsVol. 330(1)

Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU)

Openalex Percentile: Top 17%

Geometric and Algebraic Topology

DOI Source OpenAlex

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Rectangular Diagrams of Foliations — Ivan Dynnikov, Mikhail Chernavskikh · Proceedings of the Steklov Institute of Mathematics (2025) | TGRS Research Map | TGRS