Algebraic & Geometric Topology Volume 14, issue 4 (2014)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Networking Seifert surgeries on knots, III

Arnaud Deruelle, Katura Miyazaki and Kimihiko Motegi

Algebraic & Geometric Topology 14 (2014) 2065–2101

DOI: 10.2140/agt.2014.14.2065

Bibliography

1	K Asano, Homeomorphisms of prism manifolds, Yokohama Math. J. 26 (1978) 19 MR524878
2	R Benedetti, C Petronio, Lectures on hyperbolic geometry, Springer (1992) MR1219310
3	J Berge, Some knots with surgeries yielding lens spaces, unpublished manuscript
4	M Boileau, J Porti, Geometrization of $3$–orbifolds of cyclic type, Astérisque 272 (2001) 208 MR1844891
5	F Bonahon, J P Otal, Scindements de Heegaard des espaces lenticulaires, Ann. Sci. École Norm. Sup. 16 (1983) 451 MR740078
6	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" (editor C D Hodgson), Amer. Math. Soc. (2013) 235
7	A Deruelle, K Miyazaki, K Motegi, Neighbors of Seifert surgeries on a trefoil knot in the Seifert Surgery Network, preprint
8	A Deruelle, K Miyazaki, K Motegi, Networking Seifert surgeries on knots, II: The Berge's lens surgeries, Topology Appl. 156 (2009) 1083 MR2493370
9	A Deruelle, K Miyazaki, K Motegi, Networking Seifert surgeries on knots, Mem. Amer. Math. Soc. 1021, Amer. Math. Soc. (2012) MR2951665
10	M Eudave-Muñoz, Non-hyperbolic manifolds obtained by Dehn surgery on hyperbolic knots, from: "Geometric topology" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470720
11	M Eudave-Muñoz, On hyperbolic knots with Seifert fibered Dehn surgeries, from: "Proceedings of the First Joint Japan–Mexico Meeting in Topology", Topology Appl. 121 (2002) 119 MR1903687
12	R Fintushel, R J Stern, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980) 33 MR595630
13	C M Gordon, Y Q Wu, Annular Dehn fillings, Comment. Math. Helv. 75 (2000) 430 MR1793797
14	J E Greene, $L$–space surgeries, genus bound, and the cabling conjecture, preprint (2012)
15	A E Hatcher, Notes on basic $3$–manifold topology, lecture notes
16	M Hirasawa, K Shimokawa, Dehn surgeries on strongly invertible knots which yield lens spaces, Proc. Amer. Math. Soc. 128 (2000) 3445 MR1676336
17	C Hodgson, J H Rubinstein, Involutions and isotopies of lens spaces, from: "Knot theory and manifolds" (editor D Rolfsen), Lecture Notes in Math. 1144, Springer (1985) 60 MR823282
18	K Ishihara, K Motegi, Band sum operations yielding trivial knots, Bol. Soc. Mat. Mexicana 15 (2009) 103 MR2757689
19	W Jaco, Lectures on three–manifold topology, CBMS Reg. Conf. Series Math. 43, Amer. Math. Soc. (1980) MR565450
20	B Jiang, S Wang, Y Q Wu, Homeomorphisms of 3–manifolds and the realization of Nielsen number, Comm. Anal. Geom. 9 (2001) 825 MR1868922
21	K Miyazaki, K Motegi, Seifert fibred manifolds and Dehn surgery, Topology 36 (1997) 579 MR1415607
22	W D Neumann, F Raymond, Seifert manifolds, plumbing, $\mu $–invariant and orientation reversing maps, from: "Algebraic and geometric topology" (editor K C Millett), Lecture Notes in Math. 664, Springer (1978) 163 MR518415
23	U Oertel, Closed incompressible surfaces in complements of star links, Pacific J. Math. 111 (1984) 209 MR732067
24	P Orlik, Seifert manifolds, Lecture Notes in Mathematics 291, Springer (1972) MR0426001
25	C Petronio, J Porti, Negatively oriented ideal triangulations and a proof of Thurston's hyperbolic Dehn filling theorem, Expo. Math. 18 (2000) 1 MR1751141
26	J H Rubinstein, On $3$–manifolds that have finite fundamental group and contain Klein bottles, Trans. Amer. Math. Soc. 251 (1979) 129 MR531972
27	M Scharlemann, A Thompson, Link genus and the Conway moves, Comment. Math. Helv. 64 (1989) 527 MR1022995
28	W P Thurston, The geometry and topology of $3$–manifolds, lecture notes, Princeton University (1979)
29	W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524