On the distortion of knots on embedded surfaces
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Publication:640799
DOI10.4007/annals.2011.174.1.21zbMath1227.57013arXiv1010.1972OpenAlexW2132665215WikidataQ29040479 ScholiaQ29040479MaRDI QIDQ640799
Publication date: 20 October 2011
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.1972
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Related Items (9)
Geometric complexity of embeddings in \(\mathbb R^d\) ⋮ Alternating links have representativity 2 ⋮ Vertex distortion detects the unknot ⋮ Application of waist inequality to entropy and mean dimension ⋮ Neighboring mapping points theorem ⋮ Representativity and waist of cable knots ⋮ Vertex distortion of lattice knots ⋮ Generalizations of the Kolmogorov-Barzdin embedding estimates ⋮ Height, trunk and representativity of knots
Cites Work
- An alternative proof that 3-manifolds can be triangulated
- Filling Riemannian manifolds
- Homotopical effects of dilatation
- Family of energy functionals of knots
- Energy functionals of knots. II
- Möbius energy of knots and unknots
- A class of curves in every knot type where chords of high distortion are common
- A remarkable simple closed curve
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- The distortion of a knotted curve
- THE TRIANGULATION OF 3-MANIFOLDS
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
- Obstructions to the smoothing of piecewise-differentiable homeomorphisms
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