Algebraic & Geometric Topology Volume 16, issue 3 (2016)

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L-space surgery and twisting operation

Kimihiko Motegi

Algebraic & Geometric Topology 16 (2016) 1727–1772

DOI: 10.2140/agt.2016.16.1727

Bibliography

1	I Agol, Bounds on exceptional Dehn filling, Geom. Topol. 4 (2000) 431 MR1799796
2	M Aït-Nouh, D Matignon, K Motegi, Geometric types of twisted knots, Ann. Math. Blaise Pascal 13 (2006) 31 MR2233011
3	K Baker, A Moore, Montesinos knots, Hopf plumbings, and L-space surgeries, preprint (2014) arXiv:1404.7585
4	R Benedetti, C Petronio, Lectures on hyperbolic geometry, Springer (1992) MR1219310
5	J Berge, Some knots with surgeries yielding lens spaces, unpublished manuscript
6	J Berge, The knots in D² × S¹ which have nontrivial Dehn surgeries that yield D² × S¹, Topology Appl. 38 (1991) 1 MR1093862
7	M Boileau, J Porti, Geometrization of 3–orbifolds of cyclic type, 272, Société Mathématique de France (2001) 208 MR1844891
8	S Boyer, C M Gordon, L Watson, On L-spaces and left-orderable fundamental groups, Math. Ann. 356 (2013) 1213 MR3072799
9	S Boyer, D Rolfsen, B Wiest, Orderable 3–manifold groups, Ann. Inst. Fourier (Grenoble) 55 (2005) 243 MR2141698
10	J C Dean, Small Seifert-fibered Dehn surgery on hyperbolic knots, Algebr. Geom. Topol. 3 (2003) 435 MR1997325
11	A Deruelle, M Eudave-Muñoz, K Miyazaki, K Motegi, Networking Seifert surgeries on knots, IV : Seiferters and branched coverings, from: "Geometry and topology down under" (editors C D Hodgson, W H Jaco, M G Scharlemann, S Tillmann), Contemp. Math. 597, Amer. Math. Soc. (2013) 235 MR3186676
12	A Deruelle, K Miyazaki, K Motegi, Networking Seifert surgeries on knots, II : The Berge’s lens surgeries, Topology Appl. 156 (2009) 1083 MR2493370
13	A Deruelle, K Miyazaki, K Motegi, Networking Seifert surgeries on knots, 1021 (2012) MR2951665
14	D Eisenbud, U Hirsch, W Neumann, Transverse foliations of Seifert bundles and self-homeomorphism of the circle, Comment. Math. Helv. 56 (1981) 638 MR656217
15	M Eudave-Muñoz, On hyperbolic knots with Seifert fibered Dehn surgeries, from: "Proceedings of the First Joint Japan–Mexico Meeting in Topology" (editors S García-Ferreira, T Nogura) (2002) 119 MR1903687
16	M Eudave-Muñoz, E Jasso, K Miyazaki, K Motegi, Seifert fibered surgeries on strongly invertible knots without primitive/Seifert positions, Topology Appl. 196 (2015) 729 MR3431011
17	D Gabai, Foliations and the topology of 3–manifolds, III, J. Differential Geom. 26 (1987) 479 MR910018
18	D Gabai, Surgery on knots in solid tori, Topology 28 (1989) 1 MR991095
19	P Ghiggini, Knot Floer homology detects genus-one fibred knots, Amer. J. Math. 130 (2008) 1151 MR2450204
20	C M Gordon, Dehn surgery and satellite knots, Trans. Amer. Math. Soc. 275 (1983) 687 MR682725
21	C M Gordon, J Luecke, Non-integral toroidal Dehn surgeries, Comm. Anal. Geom. 12 (2004) 417 MR2074884
22	C M Gordon, Y Q Wu, Annular Dehn fillings, Comment. Math. Helv. 75 (2000) 430 MR1793797
23	J E Greene, L-space surgeries, genus bounds, and the cabling conjecture, J. Differential Geom. 100 (2015) 491 MR3352796
24	A Hatcher, Notes on basic 3–manifold topology, unfinished book manuscript (2007)
25	M Hedden, On knot Floer homology and cabling, II, Int. Math. Res. Not. 2009 (2009) 2248 MR2511910
26	J Hom, T Lidman, F Vafaee, Berge–Gabai knots and L-space satellite operations, Algebr. Geom. Topol. 14 (2014) 3745 MR3302978
27	W Jaco, Lectures on three-manifold topology, 43, Amer. Math. Soc. (1980) MR565450
28	M Jankins, W D Neumann, Rotation numbers of products of circle homeomorphisms, Math. Ann. 271 (1985) 381 MR787188
29	A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
30	M Kouno, K Motegi, T Shibuya, Twisting and knot types, J. Math. Soc. Japan 44 (1992) 199 MR1154840
31	D T Krcatovich, The reduced knot Floer complex, PhD thesis, Michigan State University (2014) MR3259997
32	M Lackenby, R Meyerhoff, The maximal number of exceptional Dehn surgeries, Invent. Math. 191 (2013) 341 MR3010379
33	T Lidman, A H Moore, Pretzel knots with L-space surgeries, Michigan Math. J. 65 (2016) 105 MR3466818
34	P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact 3–manifolds, III, J. Symplectic Geom. 5 (2007) 357 MR2413308
35	Y Mathieu, Unknotting, knotting by twists on disks and property (P) for knots in S³, from: "Knots 90" (editor A Kawauchi), de Gruyter (1992) 93 MR1177414
36	K Miyazaki, K Motegi, Seifert fibred manifolds and Dehn surgery, Topology 36 (1997) 579 MR1415607
37	K Miyazaki, K Motegi, Seifert fibered manifolds and Dehn surgery, III, Comm. Anal. Geom. 7 (1999) 551 MR1698388
38	J M Montesinos, Seifert manifolds that are ramified two-sheeted cyclic coverings, Bol. Soc. Mat. Mexicana 18 (1973) 1 MR0341467
39	J M Montesinos, Surgery on links and double branched covers of S³, from: "Knots, groups, and 3–manifolds (Papers dedicated to the memory of R H Fox)" (editor L P Neuwirth), Ann. of Math. Studies 84, Princeton Univ. Press (1975) 227 MR0380802
40	K Morimoto, M Sakuma, On unknotting tunnels for knots, Math. Ann. 289 (1991) 143 MR1087243
41	K Motegi, K Tohki, On L-space twisted torus knots, in preparation
42	R Naimi, Foliations transverse to fibers of Seifert manifolds, Comment. Math. Helv. 69 (1994) 155 MR1259611
43	Y Ni, Knot Floer homology detects fibred knots, Invent. Math. 170 (2007) 577 MR2357503
44	Y Ni, Erratum : Knot Floer homology detects fibred knots, Invent. Math. 177 (2009) 235 MR2507641
45	P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
46	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
47	P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
48	P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
49	C Petronio, J Porti, Negatively oriented ideal triangulations and a proof of Thurston’s hyperbolic Dehn filling theorem, Expo. Math. 18 (2000) 1 MR1751141
50	Z Szabó, Lecture notes on Heegaard Floer homology, from: "Low dimensional topology" (editors T S Mrowka, P S Ozsváth), IAS/Park City Math. Ser. 15, Amer. Math. Soc. (2009) 197 MR2503496
51	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
52	W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524
53	F Vafaee, On the knot Floer homology of twisted torus knots, Int. Math. Res. Not. 2015 (2015) 6516 MR3384486