Skip to main content
SpringerLink
Log in

Surgery on complex polynomials

  • Conference paper
  • First Online:
Holomorphic Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1345))

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.

References

  1. B.Branner and J.H.Hubbard, The iteration of cubic polynomials, Part I: The global topology of parameter space, Acta Mathematica (to appear).

    Google Scholar 

  2. A. Douady, Systémes dynamiques holomorphes, Sém. Bourbaki, exp. 599, Astérisque 105–106 (1983), 39–63.

    MathSciNet  Google Scholar 

  3. A.Douady, Surgery on holomorphic mappings, preprint MSRI (1986); french version: Proceedings of ICM (1986) (to appear).

    Google Scholar 

  4. A. Douady and J.H. Hubbard, Itération de polynômes quadratiques complexes, C.R. Acad. Sc. Paris, Série 1 t.294 (1982), 123–126.

    MathSciNet  MATH  Google Scholar 

  5. A. Douady and J.H. Hubbard, On the dynamics of polynomial-like mappings, Ann. Sc. E.S.N., 4éme Séries t. 18 (1985), 287–343.

    MathSciNet  MATH  Google Scholar 

  6. A.Douady and J.H.Hubbard, Systémes dynamiques holomorphes I: Itération des polynômes complexes, Publ. Math. Orsay (1984); II, (1985).

    Google Scholar 

  7. P.Lavaurs, Complément à une inégalité de Yoccoz, manuscript (1986).

    Google Scholar 

  8. R. Mañé, P. Sad and D. Sullivan, On the dynamics of rational maps, Ann. Sc. E.N.S., 4éme Séries t. 16 (1982), 193–217.

    MathSciNet  MATH  Google Scholar 

  9. M.Shishikura, On the quasi-conformal surgery of rational functions, Ann. Sc. E.N.S., 4éme Séries t. 20 (1987).

    Google Scholar 

  10. J.-C.Yoccoz, Sur la taille des membres de l'ensemble de Mandelbrot, manuscript (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute, The Technical University of Denmark, Building 303, DK-2800, Lyngby, Denmark

    Bodil Branner

  2. Département de Mathématiques, Université de Paris-Sud, Bâtiment 425, F-91405, Orsay

    Adrien Douady

  3. École Normale Supérieure, Centre de Mathématiques, 45 rue d'Ulm, F-75230, Paris Cedex 05, France

    Adrien Douady

Authors
  1. Bodil Branner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Adrien Douady
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Xavier Gomez-Mont José A. Seade Alberto Verjovski

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Branner, B., Douady, A. (1988). Surgery on complex polynomials. In: Gomez-Mont, X., Seade, J.A., Verjovski, A. (eds) Holomorphic Dynamics. Lecture Notes in Mathematics, vol 1345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081395

Download citation

  • DOI: https://doi.org/10.1007/BFb0081395

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50226-5

  • Online ISBN: 978-3-540-45957-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation