137
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Regular Tessellation Link Complements

REFERENCES

  • [Adams and Reid 00] Colin C. Adams, and Alan W. Reid. “Systoles of Hyperbolic 3-Manifolds.” Math. Proc. Cambridge Philos. Soc. 128 (2000), 103–110.
  • [Agol 00] Ian Agol. “Bounds on Exceptional Dehn Filling.” Geom. Topol. 4 (2000), 431–449.
  • [Aitchison and Rubinstein 92] I. R. Aitchison and J. H. Rubinstein. “Combinatorial Cubings, Cusps, and the Dodecahedral Knots.” In Topology ’90 (Columbus, OH, 1990), Ohio State Univ. Math. Res. Inst. Publ. 1, pp. 17–26. De Gruyter, 1992.
  • [Baker and Reid 14] Mark D. Baker and Alan W. Reid. “Principal Congruence Link Complements.” Ann. Fac. Sci. Toulouse 23 (2014), 1063–1092.
  • [Björner et al. 94] A. Björner, L. Lovász, S. T. Vrećica, and R. T. Živaljević. “Chessboard Complexes and Matching Complexes.” J. London Math. Soc. (2) 49 (1994), 25–39.
  • [Bleiler and Hodgson 96] Steven A. Bleiler and Craig D. Hodgson. “Spherical Space Forms and Dehn Filling.” Topology 35 (1996), 809–833.
  • [Bredon 97] Glen E. Bredon. Topology and Geometry, Graduate Texts in Mathematics 139. Springer, 1997.
  • [Callahan et al. 99] Patrick J. Callahan, Martin V. Hildebrand, and Jeffrey R. Weeks. “A Census of Cusped Hyperbolic 3-Manifolds.” Math. Comp. 68 (1999), 321–332.
  • [Coxeter 56] H. S. M. Coxeter. “Regular Honeycombs in Hyperbolic Space.” In Proceedings of the International Congress of Mathematicians, 1954, Amsterdam, vol. III, pp. 155–169. North-Holland, 1956.
  • [Coxeter 73] H. S. M. Coxeter. Regular Polytopes, third edition. Dover, 1973.
  • [Dunfield and Thurston 03] Nathan M. Dunfield and William P. Thurston. “The Virtual Haken Conjecture: Experiments and Examples.” Geom. Topol. 7 (2003), 399–441.
  • [Epstein and Penner 88] D. B. A. Epstein and R. C. Penner. “Euclidean Decompositions of Noncompact Hyperbolic Manifolds.” J. Differential Geom. 27 (1988), 67–80.
  • [Görner 11] Matthias Görner. “Visualizing Regular Tessellations: Principal Congruence Links and Equivariant Morphisms from Surfaces to 3-Manifolds.” Available online (http://www.unhyperbolic.org/thesis_included.eps), 2011.
  • [Hodgson and Weeks 94] Craig D. Hodgson and Jeffrey R. Weeks. “Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds.” Experiment. Math. 3 (1994), 261–274.
  • [Hoffmann 14] Neil Hoffmann. “On Knot Complements That Decompose into Regular Ideal Dodecahedra.” Geom. Ded. 173 (2014), 299–308.
  • [Lackenby 00] Marc Lackenby. “Word Hyperbolic Dehn Surgery.” Invent. Math. 140 (2000), 243–282.
  • [Martelli et al. 14] Bruno Martelli, Carlo Petronio, and Fionntan Roukema. “Exceptional Dehn Surgery on the Minimally Twisted Five-Chain Link.” Commun. Anal. Geom. 22 (2014), 689–735.
  • [Meyerhoff 86] Robert Meyerhoff. “Sphere-Packing and Volume in Hyperbolic 3-Space.” Comment. Math. Helv. 61 (1986), 271–278.
  • [Neumann and Reid 92] Walter D. Neumann and Alan W. Reid. “Notes on Adams’ Small Volume Orbifolds.” In Topology ’90 (Columbus, OH, 1990), Ohio State Univ. Math. Res. Inst. Publ. 1, pp. 311–314. De Gruyter, 1992.
  • [Newman 90] M. F. Newman. “Proving a Group Infinite.” Arch. Math. (Basel) 54 (1990), 209–211.
  • [Reid 91] Alan W. Reid. “Arithmeticity of Knot Complements.” J. London Math. Soc. (2) 43 (1991), 171–184.
  • [Thurston 82] William P. Thurston. “Three-Dimensional Manifolds, Kleinian Groups and Hyperbolic Geometry.” Bull. Amer. Math. Soc. (N.S.) 6 (1982), 357–381.
  • [Thurston 97] William P. Thurston. Three-Dimensional Geometry and Topology, vol. 1, Princeton Mathematical Series 35, Princeton University Press, 1997.
  • [Thurston 98] William P. Thurston. “How to See 3-Manifolds.” Classical Quantum Gravity 15 (1998), 2545–2571 ( Topology of the Universe Conference (Cleveland, OH, 1997)).
  • [Ziegler 94] Günter M. Ziegler. “Shellability of Chessboard Complexes.” Israel J. Math. 87 (1994), 97–110.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.