Algebraic & Geometric Topology Volume 7, issue 1 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Volumes of highly twisted knots and links

Jessica S Purcell

Algebraic & Geometric Topology 7 (2007) 93–108

DOI: 10.2140/agt.2007.7.93

Bibliography

1	C C Adams, Augmented alternating link complements are hyperbolic, from: "Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984)", London Math. Soc. Lecture Note Ser. 112, Cambridge Univ. Press (1986) 115 MR903861
2	I Agol, N Dunfield, P Storm, W P Thurston, Lower bounds on volumes of hyperbolic Haken 3-manifolds arXiv:math.DG/0506338
3	K Böröczky, Packing of spheres in spaces of constant curvature, Acta Math. Acad. Sci. Hungar. 32 (1978) 243 MR512399
4	C Cao, G R Meyerhoff, The orientable cusped hyperbolic $3$-manifolds of minimum volume, Invent. Math. 146 (2001) 451 MR1869847
5	D Cooper, C D Hodgson, S P Kerckhoff, Three-dimensional orbifolds and cone-manifolds, MSJ Memoirs 5, Mathematical Society of Japan (2000) MR1778789
6	D Futer, J S Purcell, Links with no exceptional surgeries arXiv:math.GT/0412307
7	C Hodgson, Degeneration and regeneration of geometric structures on $3$-manifolds, PhD thesis, Princeton Univ. (1986)
8	C D Hodgson, S P Kerckhoff, Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery, J. Differential Geom. 48 (1998) 1 MR1622600
9	C D Hodgson, S P Kerckhoff, Universal bounds for hyperbolic Dehn surgery, Ann. of Math. $(2)$ 162 (2005) 367 MR2178964
10	M Lackenby, The volume of hyperbolic alternating link complements, Proc. London Math. Soc. $(3)$ 88 (2004) 204 MR2018964
11	C J Leininger, Small curvature surfaces in hyperbolic 3-manifolds, J. Knot Theory Ramifications 15 (2006) 379 MR2217503
12	J Purcell, Cusp shapes under cone deformation arXiv:math.GT/0410233
13	J Purcell, Cusp Shapes of Hyperbolic Link Complements and Dehn Filling, PhD thesis, Stanford University (2004)
14	D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1976) MR0515288
15	W Thurston, The Geometry and Topology of Three-Manifolds, Princeton Univ. Math. Dept. Notes (1979)
16	J Weeks, Snappea