Skip to main content

The enhanced Milnor number in higher dimensions

  • Linking Phenomena And 3-Dimensional Topology
  • Conference paper
  • First Online:
Differential Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1350))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Durfee, A., “Fibered knots and algebraic singularities,” Topology 13 (1974), 47–59.

    Article  MathSciNet  MATH  Google Scholar 

  2. Durfee, A., “Diffeomorphism classification of isolated hypersurface singularities,” Dissertation, Cornell, 1971.

    Google Scholar 

  3. Gabai, David, “Murasugi sum is a natural geometric operation, II,” Contemp. Math. 44 (1985), 93–100.

    Article  MathSciNet  MATH  Google Scholar 

  4. Harer, John, “How to construct all fibered knots and links,” Topology 21 (1982), 263–280.

    Article  MathSciNet  MATH  Google Scholar 

  5. James, I.M., “The intrinsic join: a study of the homotopy groups of Stiefel manifolds,” Proc. London Math. Soc. (3) 8 (1958), 507–535.

    Article  MathSciNet  MATH  Google Scholar 

  6. Kauffman, Louis H. and Neumann, Walter D., “Products of knots, branched fibrations and sums of singularities,” Topology 16 (1977), 369–393.

    Article  MathSciNet  MATH  Google Scholar 

  7. Lines, D., “Stable plumbing for high odd-dimensional knots,” Canadian J. Math. (to appear).

    Google Scholar 

  8. Lines, D., and Morales, J., “Grothendieck groups of sesquilinear forms over a ring with involution,” Math. Ann. (to appear).

    Google Scholar 

  9. Melvin, P.M. and Morton, H.R., “Fibred knots of genus 2 formed by plumbing Hopf bands,” J. London Math. Soc. (2) 34 (1986), 159–168.

    Article  MathSciNet  MATH  Google Scholar 

  10. Milnor, John, Singular Points of Complex Hypersurfaces, Ann. of Math. Studies 61 (Princeton Univ. Press. 1968).

    Google Scholar 

  11. Murasugi, K. “On a certain subgroup of the group of an alternating link,” Amer. J. Math. 85 (1963), 544–550.

    Article  MathSciNet  MATH  Google Scholar 

  12. Neumann, Walter D., and Rudolph, Lee, “Unfoldings in knot theory,” Math. Annalen 278 (1987), 409–439; Corrigendum, ibid. (to appear).

    Article  MathSciNet  MATH  Google Scholar 

  13. Neumann, Walter D., and Rudolph, Lee, “Difference index of vectorfields and the enhanced Milnor number,” preprint (1987).

    Google Scholar 

  14. Rudolph, Lee, “Isolated critical points of maps from IR4 to IR2 and a natural splitting of the Milnor number of a classical fibered link. Part I,” Comm. Math. Helv. 62 (1987), 630–645.

    Article  MathSciNet  MATH  Google Scholar 

  15. Stallings, J. R., “Constructions of fibred knots and links,” Proc. Symp. Pure Math. XXIII, part 2 (1978), 55–60.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ulrich Koschorke

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Neumann, W.D., Rudolph, L. (1988). The enhanced Milnor number in higher dimensions. In: Koschorke, U. (eds) Differential Topology. Lecture Notes in Mathematics, vol 1350. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081471

Download citation

  • DOI: https://doi.org/10.1007/BFb0081471

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50369-9

  • Online ISBN: 978-3-540-45990-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics