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Abstract <p> We introduce a concept of a rectangular diagram of a foliation in the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(3\)</EquationSource> </InlineEquation>-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. </p>

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Rectangular Diagrams of Foliations

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Ivan Dynnikov,
  • Mikhail Chernavskikh

摘要

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.