Algebraic & Geometric Topology Volume 15, issue 5 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Torus knots obtained by twisting torus knots

Sangyop Lee

Algebraic & Geometric Topology 15 (2015) 2817–2836

DOI: 10.2140/agt.2015.15.2819

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