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Surgery on complex polynomials

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

Keywords

  • Riemann Surface
  • Internal Argument
  • External Argument
  • Dynamical Plane
  • Opening Modulus

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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).

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

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

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

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  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.

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

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

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

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

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© 1988 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50226-5

  • Online ISBN: 978-3-540-45957-6

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