Surgery description of simple three folds cover of the 3-sphere branched along a link

Franck Harou[1]

  • [1] Université de Rennes 1, IRMAR, Campus de Beaulieu, 35042 Rennes Cedex (France)

Annales de l’institut Fourier (2001)

  • Volume: 51, Issue: 5, page 1229-1242
  • ISSN: 0373-0956

Abstract

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We present an algorithm for converting a branched cover description of a 3-manifold into a description by surgery.

How to cite

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Harou, Franck. "Description chirurgicale des revêtements triples simples de $S^3$ ramifiés le long d’un entrelacs." Annales de l’institut Fourier 51.5 (2001): 1229-1242. <http://eudml.org/doc/115946>.

@article{Harou2001,
abstract = {Nous présentons un algorithme permettant de convertir une présentation de variété de dimension 3 comme revêtement simple à trois feuillets de la sphère en une présentation de chirurgie.},
affiliation = {Université de Rennes 1, IRMAR, Campus de Beaulieu, 35042 Rennes Cedex (France)},
author = {Harou, Franck},
journal = {Annales de l’institut Fourier},
keywords = {3-manifold; branched cover; surgery; link; braid},
language = {fre},
number = {5},
pages = {1229-1242},
publisher = {Association des Annales de l'Institut Fourier},
title = {Description chirurgicale des revêtements triples simples de $S^3$ ramifiés le long d’un entrelacs},
url = {http://eudml.org/doc/115946},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Harou, Franck
TI - Description chirurgicale des revêtements triples simples de $S^3$ ramifiés le long d’un entrelacs
JO - Annales de l’institut Fourier
PY - 2001
PB - Association des Annales de l'Institut Fourier
VL - 51
IS - 5
SP - 1229
EP - 1242
AB - Nous présentons un algorithme permettant de convertir une présentation de variété de dimension 3 comme revêtement simple à trois feuillets de la sphère en une présentation de chirurgie.
LA - fre
KW - 3-manifold; branched cover; surgery; link; braid
UR - http://eudml.org/doc/115946
ER -

References

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  1. J. Birman, Braids, links and mapping class groups, vol. 84 (1975), Univ. Press, Princeton Zbl0305.57013MR425944
  2. J. Birman, B. Wajnryb, 3-fold branched coverings and the mapping class group of a surface, 1167 (1985), Springer-Verlag Zbl0589.57009MR827260
  3. G. Burde, H. Zieschang, Knots, vol. 5 (1985), De Gruyter Zbl0568.57001MR808776
  4. P. Dehornoy, A fast method for comparing braids, Adv. Math. 125 (1997), 200-235 Zbl0882.20021MR1434111
  5. F. Harou, (2000) 
  6. J. Montesinos, A representation of closed orientable 3-manifolds as 3-fold branched coverings of S 3 , Bull. Amer. Soc. 80 (1974), 845-846 Zbl0292.57003MR358784
  7. J. Montesinos, Surgery on links and double branched covers of S 3 , Knots, Groups and 3-Manifolds vol. 84 (227-259), Univ. Press, Princeton Zbl0325.55004
  8. J. Montesinos, Three-manifolds as 3-fold branched covers of S 3 , Quart. J. Math. Oxford 27 (1976), 85-90 Zbl0326.57002MR394630
  9. V.V. Prasolov, A.B. Sossinsky, Knots, Links, Braids and 3-manifolds, vol. 154 (1997), AMS Trans., Springer-Verlag Zbl0864.57002
  10. D. Rolfsen, Knots and links, (1977), Publish or Perish Zbl0339.55004MR1277811
  11. P. Vogel, Representation of links by braids : a new algorithm, Comment. Math. Helv. 65 (1990), 104-113 Zbl0703.57004MR1036132

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