Volume 15, issue 3 (2015)

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

Volume 23
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
Essential surfaces in highly twisted link complements

Ryan Blair, David Futer and Maggy Tomova

Algebraic & Geometric Topology 15 (2015) 1501–1523
Bibliography
1 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
2 D Bachman, S Schleimer, Distance and bridge position, Pacific J. Math. 219 (2005) 221 MR2175113
3 R Blair, M Campisi, J Johnson, S A Taylor, M Tomova, Exceptional and cosmetic surgeries on knots, arXiv:1209.0197
4 R Crowell, Genus of alternating link types, Ann. of Math. 69 (1959) 258 MR0099665
5 D Futer, F Guéritaud, Angled decompositions of arborescent link complements, Proc. Lond. Math. Soc. 98 (2009) 325 MR2481951
6 D Futer, E Kalfagianni, J S Purcell, Dehn filling, volume, and the Jones polynomial, J. Differential Geom. 78 (2008) 429 MR2396249
7 D Futer, J S Purcell, Links with no exceptional surgeries, Comment. Math. Helv. 82 (2007) 629 MR2314056
8 D Futer, J S Purcell, Explicit Dehn filling and Heegaard splittings, Comm. Anal. Geom. 21 (2013) 625 MR3078950
9 W Haken, Theorie der Normalflächen, Acta Math. 105 (1961) 245 MR0141106
10 M Lackenby, Word hyperbolic Dehn surgery, Invent. Math. 140 (2000) 243 MR1756996
11 M Lackenby, The volume of hyperbolic alternating link complements, Proc. London Math. Soc. 88 (2004) 204 MR2018964
12 W Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984) 37 MR721450
13 K Murasugi, On the genus of the alternating knot, I and II, J. Math. Soc. Japan 10 (1958) 94, 235 MR0099664
14 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
15 M Tomova, Multiple bridge surfaces restrict knot distance, Algebr. Geom. Topol. 7 (2007) 957 MR2336246
16 A Zupan, Bridge and pants complexities of knots, J. Lond. Math. Soc. 87 (2013) 43 MR3022706