Skip to main content
SpringerLink
Log in

Seifert manifolds, plumbing, µ-invariant and orientation reversing maps

  • Research Papers
  • Chapter
  • First Online:
Algebraic and Geometric Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 664))

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

Access this chapter

Log in via an institution
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.

Bibliography

  1. Conner, P.E.;Raymond, F., Holomorphic Seifert fibering, Proceedings of the Second Conference on Compact Transformation Groups, Springer Lecture Notes, Vol. 299 (1972), 124–204.

    MathSciNet  Google Scholar 

  2. _____, Injective actions of toral groups, Topology 10 (1971), 283–296.

    Article  MathSciNet  MATH  Google Scholar 

  3. _____, Deforming homotopy equivalences to homeomorphisms in aspherical manifolds, Bull. Amer. Math. Soc. 83 (1977), 36–85.

    Article  MathSciNet  MATH  Google Scholar 

  4. _____, Manifolds with few periodic homeomorphisms, Proceedings of the Second Conference on Compact Transformation Groups, Springer Lecture Notes, Vol. 299 (1972), 1–75.

    MathSciNet  Google Scholar 

  5. Grauert, H., Über Modifikationen und exceptionelle analytische Raumformen, Math. Ann. 146 (1962), 331–368.

    Article  MathSciNet  MATH  Google Scholar 

  6. Hirzebruch, F., Free involutions on manifolds and some elementary number theory, Symposia Mathematica, Instituto Nazionale de Alta Matematica, Roma, Academic Press V (1971), 411–419.

    MathSciNet  Google Scholar 

  7. _____, Involutionen auf Mannigfaltigkeiten, Proceedings of the Conference on Transformation Groups, Tulane (1967), Springer (1968), 148–166.

    Google Scholar 

  8. _____, Pontrjagin classes of rational homology manifolds and the signature of some affine hypersurfaces, Proceedings of Liverpool Singularities Symposium II (ed. C.T.C. Wall), Lecture Notes in Math. 209, Springer-Verlag (1971), 207–212.

    Google Scholar 

  9. Hamm, H., Exotische Sphären als Umgebungsränder in speziellen komplexen Räumen, Math. Ann. 197 (1972), 44–56.

    Article  MathSciNet  MATH  Google Scholar 

  10. Hirzebruch, F.;Jänich, K., Involutions and singularities, Algebraic Geometry, Papers presented at the Bombay Coll. (1968), Oxford University Press (1969), 219–240.

    Google Scholar 

  11. Hirzebruch, F.;Neumann, W.D.;Koh, S.S., Differentiable manifolds and quadratic forms, Lecture Notes in Pure and Applied Mathematics Vol. 4, Marcel Dekker, New York, 1971.

    MATH  Google Scholar 

  12. Hirzebruch, F.; Zagier, D., The Atiyah Singer theorem and elementary number theory, Math. Lecture Series 3, Publishor Perish Inc., Boston, Berkeley, 1974.

    MATH  Google Scholar 

  13. Klein, F., Lectures on the Icosahedron and the solution of equations of the fifth degree, Dover, New York, 1956.

    MATH  Google Scholar 

  14. Kervaire, M.;Milnor, J., On 2-spheres in a 4-manifold, Proc. Nat. Acad. Sci. U.S.A. 49 (1961), 1651–1657.

    Article  MathSciNet  MATH  Google Scholar 

  15. Milnor, J., On the 3-dimensional Brieskorn manifold M(p,q,r), Papers Dedicated to the Memory of R.H. Fox, Ann. of Math. Studies, Princeton University Press, 1975, No. 48, 175–225.

    Google Scholar 

  16. Neumann, W.D., S1-actions and the α-invariant of their involutions, Bonner Math. Schriften 44, Bonn, 1970.

    Google Scholar 

  17. _____, Brieskorn complete intersections and automorphic forms, Invent.Math. 42 (1977), 285–293.

    Article  MathSciNet  MATH  Google Scholar 

  18. Neumann, W.D., Fibering graph manifolds over S1, to appear.

    Google Scholar 

  19. Orlik, P., Seifert manifolds, Springer Lecture Notes, Vol. 291 (1972).

    Google Scholar 

  20. Orlik, P.; Raymond, F., On 3-manifolds with local SO(2)-action, Quart. J. Math. Oxford (2) 20 (1969), 143–160.

    Article  MathSciNet  MATH  Google Scholar 

  21. Orlik, P.; Wagreich, P., Isolated singularities of algebraic surfaces with C*-action, Ann. of Math. 93 (1971), 205–228.

    Article  MathSciNet  MATH  Google Scholar 

  22. Orlik, P.; Vogt, E.; Zieschang, H., Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten, Topology 6 (1967), 49–64.

    Article  MathSciNet  MATH  Google Scholar 

  23. Randell, R., The homology of generalized Brieskorn manifolds, Topology 14 (1975), 347–355.

    Article  MathSciNet  MATH  Google Scholar 

  24. Rice, P.M., Free actions of Z4 on S3, Duke Math. J. 36 (1969), 749–751.

    Article  MathSciNet  MATH  Google Scholar 

  25. Raymond, F.; Vasquez, A.T., 3-manifolds whose universal coverings are Lie groups, to appear.

    Google Scholar 

  26. Seifert, H., Topologie dreidimensionaler gefaserter Räume, Acta Math. 60 (1933), 147–238.

    Article  MathSciNet  MATH  Google Scholar 

  27. Thomas, C.B., Homotopy classification of free actions by finite groups on S3, to appear.

    Google Scholar 

  28. von Randow, R., Zur Topologie von dreidimensionalen Baummanigfaltigkeiten, Bonner Math. Schriften 14 (1962).

    Google Scholar 

  29. Waldhausen, F., Eine Klasse von 3-dimensionalen Mannigfaltigkeiten, I and II, Invent. Math. 3 (1967), 308–333, 4 (1967), 87–117.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The University of Maryland and the University of Michigan, USA

    Walter D. Neumann & Frank Raymond

Authors
  1. Walter D. Neumann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Frank Raymond
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Kenneth C. Millett

Additional information

Dedicated to R.L. Wilder

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this chapter

Cite this chapter

Neumann, W.D., Raymond, F. (1978). Seifert manifolds, plumbing, µ-invariant and orientation reversing maps. In: Millett, K.C. (eds) Algebraic and Geometric Topology. Lecture Notes in Mathematics, vol 664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061699

Download citation

  • DOI: https://doi.org/10.1007/BFb0061699

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08920-9

  • Online ISBN: 978-3-540-35758-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation