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A criterion for an embedded surface in ℝ3 to be unknotted

Part of the Lecture Notes in Mathematics book series (LNM,volume 722)

Keywords

  • Saddle Point
  • Local Maximum
  • Height Function
  • Solid Torus
  • Alexander Polynomial

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References

  1. N.H. Kuiper Minimal total absolute curvature for immersions. Inventiones Math. 10 (1970), 209–238.

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  2. R. Langevin & H. Rosenberg On curvature integrals and knots. Topology 15 (1976), 405–416.

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  3. F. Waldhausen Heegaard-Zerlegungen der 3-sphäre. Topology 7 (1968), 195–203.

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© 1979 Springer-Verlag

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Morton, H.R. (1979). A criterion for an embedded surface in ℝ3 to be unknotted. In: Fenn, R. (eds) Topology of Low-Dimensional Manifolds. Lecture Notes in Mathematics, vol 722. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063193

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  • DOI: https://doi.org/10.1007/BFb0063193

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09506-4

  • Online ISBN: 978-3-540-35186-3

  • eBook Packages: Springer Book Archive