Algebraic & Geometric Topology Volume 22, issue 8 (2022)

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Unexpected essential surfaces among exteriors of twisted torus knots

Thiago de Paiva

Algebraic & Geometric Topology 22 (2022) 3965–3982

DOI: 10.2140/agt.2022.22.3965

Bibliography

1	J Birman, I Kofman, A new twist on Lorenz links, J. Topol. 2 (2009) 227 MR2529294
2	R S Bowman, S Taylor, A Zupan, Bridge spectra of twisted torus knots, Int. Math. Res. Not. 2015 (2015) 7336 MR3428964
3	P J Callahan, J C Dean, J R Weeks, The simplest hyperbolic knots, J. Knot Theory Ramifications 8 (1999) 279 MR1691433
4	A Champanerkar, D Futer, I Kofman, W Neumann, J S Purcell, Volume bounds for generalized twisted torus links, Math. Res. Lett. 18 (2011) 1097 MR2915470
5	A Champanerkar, I Kofman, E Patterson, The next simplest hyperbolic knots, J. Knot Theory Ramifications 13 (2004) 965 MR2101238
6	J C Dean, Hyperbolic knots with small Seifert-fibered Dehn surgeries, PhD thesis, The University of Texas at Austin (1996)
7	S Lee, Twisted torus knots T(p,q;kq,s) are cable knots, J. Knot Theory Ramifications 21 (2012) 1250005, 4 MR2887898
8	S Lee, Torus knots obtained by twisting torus knots, Algebr. Geom. Topol. 15 (2015) 2819 MR3426694
9	S Lee, Satellite knots obtained by twisting torus knots: hyperbolicity of twisted torus knots, Int. Math. Res. Not. 2018 (2018) 785 MR3801447
10	S Lee, Composite knots obtained by twisting torus knots, Int. Math. Res. Not. 2019 (2019) 5744 MR4012126
11	S Lee, Positively twisted torus knots which are torus knots, J. Knot Theory Ramifications 28 (2019) 1950023, 13 MR3938086
12	Y Moriah, E Sedgwick, Heegaard splittings of twisted torus knots, Topology Appl. 156 (2009) 885 MR2498921
13	K Morimoto, Essential surfaces in the exteriors of torus knots with twists on 2–strands, preprint (2008)
14	K Morimoto, On tangle decompositions of twisted torus knots, J. Knot Theory Ramifications 22 (2013) 1350049, 12 MR3105308
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	W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524
17	F Vafaee, On the knot Floer homology of twisted torus knots, Int. Math. Res. Not. 2015 (2015) 6516 MR3384486