Skip to main content
Book cover

Knot Theory pp 203–217Cite as

Signature of branched fibrations

Part of the Lecture Notes in Mathematics book series (LNM,volume 685)

Keywords

  • Product Construction
  • Cyclic Cover
  • Hypersurface Singularity
  • Real Vector Bundle
  • Span Surface

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
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. M.F. Atiyah and I.M. Singer, The index of elliptic operators III; Annals of Math. (2) 87 (1968), 546–604.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. E. Brieskorn, Beispiele zur Differential Topologie von Singularitäten; Invent. Math. 2 (1966), 1–14.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. A. Durfee and L. Kauffman, Periodicity of branched cyclic covers; Math. Ann. 218 (1975), 157–174.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. P. Gilmer, Equivariant signatures of ramified coverings; (preprint).

    Google Scholar 

  5. D. Goldsmith, Some new invariants of link concordance; (to appear).

    Google Scholar 

  6. F. Hirzebruch, The signature of ramified coverings; In: Global Analysis. Papers in honor of Kodaira, 253–265, Princeton University Press (1969).

    Google Scholar 

  7. L. Kauffman, Branched coverings open books and knot periodicity; Topology 13 (1974), 143–160.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. L. Kauffman, Products of knots; Bull. Am. Math. Soc. 80 (1974), 1104–1107.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. L. Kauffman and W. Neumann, Products of knots, branched fibrations and sums of singularities; (to appear).

    Google Scholar 

  10. L. Kauffman and L. Taylor, Signature of links; Trans. Amer. Math. Soc. 216 (1976), 351–365.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. J. Levine, Polynomial invariants of knots of codimension two; Ann. of Math. 84 (1966), 537–554.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J. Levine, Knot cobordism groups in codimension two; Comm. Math. Helv. 44 (1969), 229–244.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. J. Milnor, Singular points of complex hypersurfaces; Princeton University Press (1968).

    Google Scholar 

  14. W. Neumann, Cyclic suspension of knots and periodicity of signature for singularities; Bull. Amer. Math. Soc. 80 (1974), 977–981.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. A.G. Tristram, Some cobordism invariants of links; Proc. Camb. Phil. Soc. 66 (1969), 257–264.

    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

© 1978 Springer-Verlag

About this paper

Cite this paper

Kauffman, L.H. (1978). Signature of branched fibrations. In: Hausmann, JC. (eds) Knot Theory. Lecture Notes in Mathematics, vol 685. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062972

Download citation

  • DOI: https://doi.org/10.1007/BFb0062972

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08952-0

  • Online ISBN: 978-3-540-35705-6

  • eBook Packages: Springer Book Archive