Ideal triangulations of hyperbolic 3 -manifolds

Carlo Petronio

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 3, page 657-672
  • ISSN: 0392-4041

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Petronio, Carlo. "Ideal triangulations of hyperbolic $3$-manifolds." Bollettino dell'Unione Matematica Italiana 3-B.3 (2000): 657-672. <http://eudml.org/doc/195671>.

@article{Petronio2000,
author = {Petronio, Carlo},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {triangulation},
language = {eng},
month = {10},
number = {3},
pages = {657-672},
publisher = {Unione Matematica Italiana},
title = {Ideal triangulations of hyperbolic $3$-manifolds},
url = {http://eudml.org/doc/195671},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Petronio, Carlo
TI - Ideal triangulations of hyperbolic $3$-manifolds
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/10//
PB - Unione Matematica Italiana
VL - 3-B
IS - 3
SP - 657
EP - 672
LA - eng
KW - triangulation
UR - http://eudml.org/doc/195671
ER -

References

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  2. BOILEAU, M.- PORTI, J., Geometrization of 3-orbifolds of cyclic type, Preprint math- GT.9805073, 1998. MR1844891
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  8. PESCINI, M., Straightening cell decompositions of cusped hyperbolic 3-manifolds, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 9 (1998), 101-109. Zbl0927.57012MR1677258
  9. PETRONIO, C.- PORTI, J., Negatively oriented ideal triangulations and a poof of Thurston's hyperbolic Dehn filling theorem, to appear in Expos. Math. Zbl0977.57011MR1751141
  10. PETRONIO, C.- WEEKS, J., Partially flat ideal triangulations of hyperbolic 3-manifolds, to appear in Osaka J. Math. Zbl0952.57003MR1772844
  11. ROLFSEN, D., Knots and Links, Math. Lecture Series Vol. 7, Publish or Perish, Berkeley CA, 1976. Zbl0339.55004MR515288
  12. SCOTT, P., The geometries of 3-manifolds, Bull. London Math. Soc., 15 (1983), 401-487. Zbl0561.57001MR705527
  13. SCOTT, P., Strong annulus and torus theorems and the enclosing property of characteristic submanifolds of 3-manifolds, Quart. J. Math. Oxford, 35 (1984), 485-506. Zbl0589.57006MR767777
  14. THURSTON, W., The Geometry and Topology of 3-manifolds, mimeographed notes, Princeton, 1979. 
  15. THURSTON, W., Three-dimensional manifolds, Kleinian groups, and hyperbolic geometry, Bull. Amer. Math. Soc., 6 (1982), 357-381. Zbl0496.57005MR648524
  16. THURSTON, W., Hyperbolic structures on 3-manifolds I: Deformations of acylindrical manifolds, Ann. of Math., 124 (1986), 203-246. Zbl0668.57015MR855294
  17. WADA, M.- YAMASHITA, Y.- YOSHIDA, H., An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds, Proc. Amer. Math. Soc., 124 (1996), 3905-3911. Zbl0866.57012MR1346992
  18. WEEKS, J., SnapPea, The hyperbolic structures computer program, available from www.northnet.org/weeks. 

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