Volume 22, issue 2 (2022)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Symmetries and hidden symmetries of $(\epsilon, d_L)$–twisted knot complements

Neil R Hoffman, Christian Millichap and William Worden

Algebraic & Geometric Topology 22 (2022) 601–656
Bibliography
1 C C Adams, Thrice-punctured spheres in hyperbolic 3–manifolds, Trans. Amer. Math. Soc. 287 (1985) 645 MR768730
2 C C Adams, Augmented alternating link complements are hyperbolic, from: "Low-dimensional topology and Kleinian groups" (editor D B A Epstein), Lond. Math. Soc. Lect. Note Ser. 112, Cambridge Univ. Press (1986) 115 MR903861
3 C C Adams, Noncompact hyperbolic 3–orbifolds of small volume, from: "Topology ’90" (editors B Apanasov, W D Neumann, A W Reid, L Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 1 MR1184398
4 I Agol, Bounds on exceptional Dehn filling, Geom. Topol. 4 (2000) 431 MR1799796
5 I Agol, D Thurston
6 I R Aitchison, J H Rubinstein, Combinatorial cubings, cusps, and the dodecahedral knots, from: "Topology ’90" (editors B Apanasov, W D Neumann, A W Reid, L Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 17 MR1184399
7 R Benedetti, C Petronio, Lectures on hyperbolic geometry, Springer (1992) MR1219310
8 M Boileau, S Boyer, R Cebanu, G S Walsh, Knot commensurability and the Berge conjecture, Geom. Topol. 16 (2012) 625 MR2928979
9 M Boileau, S Maillot, J Porti, Three-dimensional orbifolds and their geometric structures, 15, Soc. Math. France (2003) MR2060653
10 C Cao, G R Meyerhoff, The orientable cusped hyperbolic 3–manifolds of minimum volume, Invent. Math. 146 (2001) 451 MR1869847
11 E Chesebro, J DeBlois, P Mondal, Generic hyperbolic knot complements without hidden symmetries, preprint (2019) arXiv:1910.04712
12 M Culler, N M Dunfield, M Goerner, J R Weeks, SnapPy, a computer program for studying the topology of 3–manifolds (2019)
13 W D Dunbar, G R Meyerhoff, Volumes of hyperbolic 3–orbifolds, Indiana Univ. Math. J. 43 (1994) 611 MR1291531
14 D Futer, E Kalfagianni, J S Purcell, Dehn filling, volume, and the Jones polynomial, J. Differential Geom. 78 (2008) 429 MR2396249
15 D Futer, C Millichap, Spectrally similar incommensurable 3–manifolds, Proc. Lond. Math. Soc. 115 (2017) 411 MR3684110
16 D Futer, J S Purcell, Links with no exceptional surgeries, Comment. Math. Helv. 82 (2007) 629 MR2314056
17 D Futer, J S Purcell, S Schleimer, Effective bilipschitz bounds on drilling and filling, Geom. Topol. 26 (2022) 1077
18 C D Hodgson, S P Kerckhoff, Universal bounds for hyperbolic Dehn surgery, Ann. of Math. 162 (2005) 367 MR2178964
19 N Hoffman, Commensurability classes containing three knot complements, Algebr. Geom. Topol. 10 (2010) 663 MR2606796
20 N R Hoffman, Small knot complements, exceptional surgeries and hidden symmetries, Algebr. Geom. Topol. 14 (2014) 3227 MR3302960
21 N R Hoffman, Cusp types of quotients of hyperbolic knot complements, preprint (2020) arXiv:2001.05066
22 S Kojima, Isometry transformations of hyperbolic 3–manifolds, Topology Appl. 29 (1988) 297 MR953960
23 M Lackenby, Word hyperbolic Dehn surgery, Invent. Math. 140 (2000) 243 MR1756996
24 M L Macasieb, T W Mattman, Commensurability classes of (2,3,n) pretzel knot complements, Algebr. Geom. Topol. 8 (2008) 1833 MR2448875
25 G A Margulis, Discrete subgroups of semisimple Lie groups, 17, Springer (1991) MR1090825
26 J S Meyer, C Millichap, R Trapp, Arithmeticity and hidden symmetries of fully augmented pretzel link complements, New York J. Math. 26 (2020) 149 MR4063955
27 C Millichap, Mutations and short geodesics in hyperbolic 3–manifolds, Comm. Anal. Geom. 25 (2017) 625 MR3702548
28 C Millichap, W Worden, Hidden symmetries and commensurability of 2–bridge link complements, Pacific J. Math. 285 (2016) 453 MR3575575
29 J Morgan, G Tian, The geometrization conjecture, 5, Amer. Math. Soc. (2014) MR3186136
30 P Morgan, D Spyropoulos, R Trapp, C Ziegler, Belted sum decomposition of fully augmented links, research report (2017)
31 W D Neumann, A W Reid, Arithmetic of hyperbolic manifolds, from: "Topology ’90" (editors B Apanasov, W D Neumann, A W Reid, L Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 273 MR1184416
32 W D Neumann, A W Reid, Notes on Adams’ small volume orbifolds, from: "Topology ’90" (editors B Apanasov, W D Neumann, A W Reid, L Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 311 MR1184417
33 J S Purcell, Volumes of highly twisted knots and links, Algebr. Geom. Topol. 7 (2007) 93 MR2289805
34 J S Purcell, Cusp shapes under cone deformation, J. Differential Geom. 80 (2008) 453 MR2472480
35 J S Purcell, An introduction to fully augmented links, from: "Interactions between hyperbolic geometry, quantum topology and number theory" (editors A Champanerkar, O Dasbach, E Kalfagianni, I Kofman, W Neumann, N Stoltzfus), Contemp. Math. 541, Amer. Math. Soc. (2011) 205 MR2796634
36 A W Reid, Arithmeticity of knot complements, J. Lond. Math. Soc. 43 (1991) 171 MR1099096
37 A W Reid, G S Walsh, Commensurability classes of 2–bridge knot complements, Algebr. Geom. Topol. 8 (2008) 1031 MR2443107
38 M Sakuma, The geometries of spherical Montesinos links, Kobe J. Math. 7 (1990) 167 MR1096689
39 W Thurston, Geometry and topology of three-manifolds, lecture notes (1980)