Skip to main content

2-Heights of links

  • 679 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1144)

Keywords

  • Double Cover
  • Algebraic Formulation
  • Alexander Polynomial
  • Link Invariant
  • Ambient Isotopy

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. A. Hillman, Spanning links by non-orientable surfaces, Quart. J. Math. Oxford (2), 31 (1980) 169–179.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. H. Laufer, Some numerical link invariants, Topology, 10 (1971) 119–130.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J. Milnor, Isotopy of links, Algebraic geometry and topology (Lefschetz symposium) Princeton Univ. Press, Princeton, 1957, 280–306.

    Google Scholar 

  4. K. Murasugi, On the Alexander polynomial of the alternating knot, Osaka Math. J. 10 (1958) 235–248.

    MathSciNet  MATH  Google Scholar 

  5. _____, On Milnor’s invariant for links, Trans. Amer. Math. Soc. 124 (1966) 94–110.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. _____, On the height of 2-component links.

    Google Scholar 

  7. K. Perko Jr., On dihedral covering spaces of knots, Inventiones Math. 34 (1976) 77–82.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. D. Rolfsen, Piecewise-linear I-equivalence of links (Preprint).

    Google Scholar 

  9. J. Stallings, Homology and central series of groups, J. Algebra 2 (1965) 170–181.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Murasugi, K. (1985). 2-Heights of links. In: Rolfsen, D. (eds) Knot Theory and Manifolds. Lecture Notes in Mathematics, vol 1144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075016

Download citation

  • DOI: https://doi.org/10.1007/BFb0075016

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15680-2

  • Online ISBN: 978-3-540-39616-1

  • eBook Packages: Springer Book Archive