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An infinite family of links with critical bridge spheres

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Publication:679781
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DOI10.2140/AGT.2018.18.153zbMath1403.57008arXiv1602.05512OpenAlexW3106141611MaRDI QIDQ679781

Daniel Rodman

Publication date: 22 January 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05512


zbMATH Keywords

linktopologically minimal surfacecritical surfacebridge sphereplat position


Mathematics Subject Classification ID


Related Items (1)

Critical bridge spheres for links with arbitrarily many bridges




Cites Work

  • Unnamed Item
  • Bridge spheres for the unknot are topologically minimal
  • Bridge distance and plat projections
  • Topological index theory for surfaces in 3-manifolds
  • State models and the Jones polynomial
  • Jones polynomials and classical conjectures in knot theory
  • Reducing Heegaard splittings
  • Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds
  • Critical Heegaard surfaces




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