Volume 15, issue 5 (2015)

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

Volume 21
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541

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
Torus knots obtained by twisting torus knots

Sangyop Lee

Algebraic & Geometric Topology 15 (2015) 2817–2836
Bibliography
1 M Boileau, M Rost, H Zieschang, On Heegaard decompositions of torus knot exteriors and related Seifert fibre spaces, Math. Ann. 279 (1988) 553 MR922434
2 M Cohen, W Metzler, A Zimmermann, What does a basis of $F(a,b)$ look like?, Math. Ann. 257 (1981) 435 MR639577
3 J C Dean, Hyperbolic knots with small Seifert-fibered Dehn surgeries, PhD thesis, University of Texas at Austin (1996) MR2694392
4 J C Dean, Small Seifert-fibered Dehn surgery on hyperbolic knots, Algebr. Geom. Topol. 3 (2003) 435 MR1997325
5 C M Gordon, Boundary slopes of punctured tori in $3$–manifolds, Trans. Amer. Math. Soc. 350 (1998) 1713 MR1390037
6 C M Gordon, Y Q Wu, Annular Dehn fillings, Comment. Math. Helv. 75 (2000) 430 MR1793797
7 W Jaco, Adding a $2$–handle to a $3$–manifold: An application to property $R$, Proc. Amer. Math. Soc. 92 (1984) 288 MR754723
8 S Lee, Twisted torus knots $T(p,q;kq,s)$ are cable knots, J. Knot Theory Ramifications 21 (2012) MR2887898
9 S Lee, Twisted torus knots with essential tori in their complements, J. Knot Theory Ramifications 22 (2013) MR3092503
10 S Lee, Twisted torus knots that are unknotted, Int. Math. Res. Not. 2014 (2014) 4958 MR3264672
11 Y Moriah, Heegaard splittings of Seifert fibered spaces, Invent. Math. 91 (1988) 465 MR928492
12 Y Moriah, E Sedgwick, Heegaard splittings of twisted torus knots, Topology Appl. 156 (2009) 885 MR2498921
13 K Morimoto, M Sakuma, On unknotting tunnels for knots, Math. Ann. 289 (1991) 143 MR1087243
14 K Morimoto, M Sakuma, Y Yokota, Examples of tunnel number one knots which have the property “$1+1=3$”, Math. Proc. Cambridge Philos. Soc. 119 (1996) 113 MR1356163
15 K Morimoto, Y Yamada, A note on essential tori in the exteriors of torus knots with twists, Kobe J. Math. 26 (2009) 29 MR2583175
16 D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1976) MR0515288
17 J R Stallings, Constructions of fibred knots and links, from: "Algebraic and geometric topology, Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 55 MR520522