Volume 16, issue 6 (2016)

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

Volume 25, 1 issue

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
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
Cosmetic surgery and the link volume of hyperbolic $3$–manifolds

Yo’av Rieck and Yasushi Yamashita

Algebraic & Geometric Topology 16 (2016) 3445–3521
Bibliography
1 J Berge, The knots in D2 × S1 which have nontrivial Dehn surgeries that yield D2 × S1, Topology Appl. 38 (1991) 1 MR1093862
2 S A Bleiler, C D Hodgson, J R Weeks, Cosmetic surgery on knots, from: "Proceedings of the Kirbyfest" (editors J Hass, M Scharlemann), Geom. Topol. Monogr. 2, Geom. Topol. Publ. (1999) 23 MR1734400
3 C Cao, G R Meyerhoff, The orientable cusped hyperbolic 3–manifolds of minimum volume, Invent. Math. 146 (2001) 451 MR1869847
4 D Gabai, Surgery on knots in solid tori, Topology 28 (1989) 1 MR991095
5 M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. 56 (1982) 5 MR686042
6 G H Hardy, E M Wright, An introduction to the theory of numbers, Oxford Univ. Press (2008) MR2445243
7 A E Hatcher, On the boundary curves of incompressible surfaces, Pacific J. Math. 99 (1982) 373 MR658066
8 H M Hilden, Every closed orientable 3–manifold is a 3–fold branched covering space of S3, Bull. Amer. Math. Soc. 80 (1974) 1243 MR0350719
9 W Jaco, Lectures on three–manifold topology, 43, Amer. Math. Soc. (1980) MR565450
10 W H Jaco, P B Shalen, Seifert fibered spaces in 3–manifolds, 220, Amer. Math. Soc. (1979) MR539411
11 K Johannson, Homotopy equivalences of 3–manifolds with boundaries, 761, Springer (1979) MR551744
12 A Kawauchi, Imitation of (3,1)–dimensional manifold pairs, Sūgaku 40 (1988) 193 MR974760
13 A Kawauchi, Almost identical imitations of (3,1)–dimensional manifold pairs, Osaka J. Math. 26 (1989) 743 MR1040422
14 T Kobayashi, Y Rieck, A linear bound on the tetrahedral number of manifolds of bounded volume (after Jørgensen and Thurston), from: "Topology and geometry in dimension three" (editors W Li, L Bartolini, J Johnson, F Luo, R Myers, J H Rubinstein), Contemp. Math. 560, Amer. Math. Soc. (2011) 27 MR2866921
15 J M Montesinos, A representation of closed orientable 3–manifolds as 3–fold branched coverings of S3, Bull. Amer. Math. Soc. 80 (1974) 845 MR0358784
16 R Myers, Simple knots in compact, orientable 3–manifolds, Trans. Amer. Math. Soc. 273 (1982) 75 MR664030
17 J Remigio-Juárez, The link volume of 3–manifolds is not multiplicative under coverings, Proc. Amer. Math. Soc. 144 (2016) 4075 MR3513562
18 J Remigio-Juárez, Y Rieck, The link volumes of some prism manifolds, Algebr. Geom. Topol. 12 (2012) 1649 MR2966698
19 Y Rieck, Y Yamashita, The link volume of 3–manifolds, Algebr. Geom. Topol. 13 (2013) 927 MR3044597
20 H Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933) 147 MR1555366
21 C Series, The modular surface and continued fractions, J. London Math. Soc. 31 (1985) 69 MR810563
22 T Soma, The Gromov invariant of links, Invent. Math. 64 (1981) 445 MR632984
23 M Teragaito, Links with surgery yielding the 3–sphere, J. Knot Theory Ramifications 11 (2002) 105 MR1885750
24 W P Thurston, The geometry and topology of three–manifolds, lecture notes (1979)