Volume 14, issue 4 (2014)

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Left-orderable fundamental groups and Dehn surgery on genus one $2$–bridge knots

Ryoto Hakamata and Masakazu Teragaito

Algebraic & Geometric Topology 14 (2014) 2125–2148
Bibliography
1 V Bargmann, Irreducible unitary representations of the Lorentz group, Ann. of Math. 48 (1947) 568 MR0021942
2 G M Bergman, Right orderable groups that are not locally indicable, Pacific J. Math. 147 (1991) 243 MR1084707
3 S Boyer, C M Gordon, L Watson, On $L$–spaces and left-orderable fundamental groups, Math. Ann. 356 (2013) 1213 MR3072799
4 S Boyer, D Rolfsen, B Wiest, Orderable $3$–manifold groups, Ann. Inst. Fourier (Grenoble) 55 (2005) 243 MR2141698
5 G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, de Gruyter (2003) MR1959408
6 A Clay, T Lidman, L Watson, Graph manifolds, left-orderability and amalgamation, Algebr. Geom. Topol. 13 (2013) 2347 MR3073920
7 A Clay, M Teragaito, Left-orderability and exceptional Dehn surgery on two-bridge knots, from: "Geometry and topology down under" (editors C D Hodgson, W H Jaco, M G Scharlemann, S Tillmann), Contemporary Mathematics 597, Amer. Math. Soc. (2013) 225
8 A Clay, L Watson, On cabled knots, Dehn surgery, and left-orderable fundamental groups, Math. Res. Lett. 18 (2011) 1085 MR2915469
9 M K Dabkowski, J H Przytycki, A A Togha, Non-left-orderable $3$–manifold groups, Canad. Math. Bull. 48 (2005) 32 MR2118761
10 J Dubois, V Huynh, Y Yamaguchi, Non-abelian Reidemeister torsion for twist knots, J. Knot Theory Ramifications 18 (2009) 303 MR2514847
11 D Gabai, Foliations and the topology of $3$–manifolds, III, J. Differential Geom. 26 (1987) 479 MR910018
12 É Ghys, Groups acting on the circle, Enseign. Math. 47 (2001) 329 MR1876932
13 A Hatcher, W Thurston, Incompressible surfaces in $2$–bridge knot complements, Invent. Math. 79 (1985) 225 MR778125
14 J Hoste, P D Shanahan, A formula for the A–polynomial of twist knots, J. Knot Theory Ramifications 13 (2004) 193 MR2047468
15 V T Khoi, A cut-and-paste method for computing the Seifert volumes, Math. Ann. 326 (2003) 759 MR2003451
16 T Li, R Roberts, Taut foliations in knot complements, (2013) arXiv:1211.3066v2
17 T Morifuji, A T Tran, Twisted Alexander polynomials of $2$–bridge knots for parabolic representations, arXiv:1301.1101
18 P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
19 T Peters, On $L$–spaces and non left-orderable $3$–manifold groups, arXiv:0903.4495
20 R Riley, Nonabelian representations of $2$–bridge knot groups, Quart. J. Math. Oxford Ser. 35 (1984) 191 MR745421
21 D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1976) MR0515288
22 M Teragaito, Left-orderability and exceptional Dehn surgery on twist knots, Canad. Math. Bull. 56 (2013) 850 MR3121694
23 A T Tran, On left-orderable fundamental groups and Dehn surgeries on double twist knots, arXiv:1301.2637
24 J W Wood, Bundles with totally disconnected structure group, Comment. Math. Helv. 46 (1971) 257 MR0293655