Volume 17, issue 6 (2017)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Generalized augmented alternating links and hyperbolic volumes

Colin Adams

Algebraic & Geometric Topology 17 (2017) 3375–3397
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), London Math. Soc. Lecture Note Ser. 112, Cambridge Univ. Press (1986) 115 MR903861
3 C Adams, Bipyramids and bounds on volumes of hyperbolic links, Topology Appl. 222 (2017) 100 MR3630197
4 R Blair, D Futer, M Tomova, Essential surfaces in highly twisted link complements, Algebr. Geom. Topol. 15 (2015) 1501 MR3361143
5 O Dasbach, A Tsvietkova, A refined upper bound for the hyperbolic volume of alternating links and the colored Jones polynomial, Math. Res. Lett. 22 (2015) 1047 MR3391876
6 D Futer, E Kalfagianni, J S Purcell, On diagrammatic bounds of knot volumes and spectral invariants, Geom. Dedicata 147 (2010) 115 MR2660569
7 A Hatcher, Notes on basic 3–manifold topology, book in progress (2007)
8 M Lackenby, The volume of hyperbolic alternating link complements, Proc. London Math. Soc. 88 (2004) 204 MR2018964
9 W Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984) 37 MR721450
10 J S Purcell, Volumes of highly twisted knots and links, Algebr. Geom. Topol. 7 (2007) 93 MR2289805
11 J S Purcell, Slope lengths and generalized augmented links, Comm. Anal. Geom. 16 (2008) 883 MR2471374
12 J S Purcell, Hyperbolic geometry of multiply twisted knots, Comm. Anal. Geom. 18 (2010) 101 MR2660459
13 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
14 W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
15 W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524