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Flattening knotted surfaces

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Publication:2689235
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DOI10.1007/s10711-023-00770-6OpenAlexW3157126825MaRDI QIDQ2689235

E. Horvat

Publication date: 9 March 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11814


zbMATH Keywords

widthflatteninglayeringpartition numberembedded surfacetrunkhyperbolic decomposition


Mathematics Subject Classification ID

Higher-dimensional knots and links (57K45)




Cites Work

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  • Waist and trunk of knots
  • On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
  • Widths of surface knots
  • The homotopy groups of knots. I: How to compute the algebraic 2-type
  • Proposals for unknotted surfaces in four-spaces
  • An enumeration of surfaces in four-space
  • Surfaces in 4-space
  • Isotopies of surfaces in 4-manifolds via banded unlink diagrams
  • Über eine numerische Knoteninvariante
  • On a banded link presentation of knotted surfaces
  • Additivity of bridge numbers of knots
  • A lower bound on the width of satellite knots
  • LOCAL KNOTTING OF SUBMANIFOLDS
  • Width of codimension two knots
  • Bridge trisections of knotted surfaces in 4-manifolds
  • Twisting Spun Knots
  • Bridge trisections of knotted surfaces in 𝑆⁴
  • Foliations and the topology of 3-manifolds


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