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

Volume 26
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Fully augmented links in the thickened torus

Alice Kwon

Algebraic & Geometric Topology 25 (2025) 1411–1432
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", Lond. Math. Soc. Lect. Note Ser. 112, Cambridge Univ. Press (1986) 115 MR903861
3 C Adams, A Calderon, N Mayer, Generalized bipyramids and hyperbolic volumes of alternating k–uniform tiling links, Topology Appl. 271 (2020) 107045 MR4046919
4 C Adams, M Capovilla-Searle, D Li, L Q Li, J McErlean, A Simons, N Stewart, X Wang, Augmented cellular alternating links in thickened surfaces are hyperbolic, Eur. J. Math. 9 (2023) 100 MR4654988
5 C K Atkinson, Volume estimates for equiangular hyperbolic Coxeter polyhedra, Algebr. Geom. Topol. 9 (2009) 1225 MR2519588
6 L Babai, The growth rate of vertex-transitive planar graphs, from: "Proceedings of the eighth annual ACM–SIAM symposium on discrete algorithms", ACM (1997) 564 MR1447704
7 A I Bobenko, B A Springborn, Variational principles for circle patterns and Koebe’s theorem, Trans. Amer. Math. Soc. 356 (2004) 659 MR2022715
8 A Champanerkar, D Futer, I Kofman, W Neumann, J S Purcell, Volume bounds for generalized twisted torus links, Math. Res. Lett. 18 (2011) 1097 MR2915470
9 A Champanerkar, I Kofman, Determinant density and biperiodic alternating links, New York J. Math. 22 (2016) 891 MR3548129
10 A Champanerkar, I Kofman, J S Purcell, Geometrically and diagrammatically maximal knots, J. Lond. Math. Soc. 94 (2016) 883 MR3614933
11 A Champanerkar, I Kofman, J S Purcell, Geometry of biperiodic alternating links, J. Lond. Math. Soc. 99 (2019) 807 MR3977891
12 E Chesebro, J DeBlois, H Wilton, Some virtually special hyperbolic 3–manifold groups, Comment. Math. Helv. 87 (2012) 727 MR2980525
13 J A Howie, J S Purcell, Geometry of alternating links on surfaces, Trans. Amer. Math. Soc. 373 (2020) 2349 MR4069222
14 A Kwon, Y H Tham, Hyperbolicity of augmented links in the thickened torus, J. Knot Theory Ramifications 31 (2022) 2250025 MR4445217
15 M Lackenby, The volume of hyperbolic alternating link complements, Proc. Lond. Math. Soc. 88 (2004) 204 MR2018964
16 Y Miyamoto, Volumes of hyperbolic manifolds with geodesic boundary, Topology 33 (1994) 613 MR1293303
17 J S Purcell, An introduction to fully augmented links, from: "Interactions between hyperbolic geometry, quantum topology and number theory", Contemp. Math. 541, Amer. Math. Soc. (2011) 205 MR2796634
18 J S Purcell, Hyperbolic knot theory, 209, Amer. Math. Soc. (2020) MR4249621
19 W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)