Volume 18, issue 5 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Kakimizu complexes of Seifert fibered spaces

Jennifer Schultens

Algebraic & Geometric Topology 18 (2018) 2897–2918
Bibliography
1 R Baer, Isotopie von Kurven auf orientierbaren, geschlossenen Flächen und ihr Zusammenhang mit der topologischen Deformation der Flächen, J. Reine Angew. Math. 159 (1928) 101 MR1581156
2 J E Banks, On links with locally infinite Kakimizu complexes, Algebr. Geom. Topol. 11 (2011) 1445 MR2821430
3 J E Banks, The Kakimizu complex of a connected sum of links, Trans. Amer. Math. Soc. 365 (2013) 6017 MR3091274
4 G Burde, H Zieschang, Eine Kennzeichnung der Torusknoten, Math. Ann. 167 (1966) 169 MR0210113
5 J R Eisner, Knots with infinitely many minimal spanning surfaces, Trans. Amer. Math. Soc. 229 (1977) 329 MR0440528
6 D B A Epstein, Curves on 2–manifolds and isotopies, Acta Math. 115 (1966) 83 MR0214087
7 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
8 C M Gordon, W Heil, Cyclic normal subgroups of fundamental groups of 3–manifolds, Topology 14 (1975) 305 MR0400232
9 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
10 J Hempel, 3–manifolds, 86, Princeton Univ. Press (1976) MR0415619
11 J Hempel, W Jaco, Fundamental groups of 3–manifolds which are extensions, Ann. of Math. 95 (1972) 86 MR0287550
12 W Jaco, Lectures on three-manifold topology, 43, Amer. Math. Soc. (1980) MR565450
13 W H Jaco, P B Shalen, Seifert fibered spaces in 3–manifolds, 220, Amer. Math. Soc. (1979) MR539411
14 J Johnson, R Pelayo, R Wilson, The coarse geometry of the Kakimizu complex, Algebr. Geom. Topol. 14 (2014) 2549 MR3276840
15 B Martelli, An introduction to geometric topology, CreateSpace (2016)
16 P Przytycki, J Schultens, Contractibility of the Kakimizu complex and symmetric Seifert surfaces, Trans. Amer. Math. Soc. 364 (2012) 1489 MR2869183
17 M Sakuma, K J Shackleton, On the distance between two Seifert surfaces of a knot, Osaka J. Math. 46 (2009) 203 MR2531146
18 J Schultens, Kakimizu complexes of surfaces and 3–manifolds, Topology Proc. 50 (2017) 111 MR3553162
19 P Scott, The geometries of 3–manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
20 H Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933) 147 MR1555366
21 H Seifert, W Threlfall, Seifert and Threlfall : a textbook of topology, 89, Academic (1980) MR575168
22 W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 339, Amer. Math. Soc. (1986) 99 MR823443
23 J L Tollefson, Involutions of Seifert fiber spaces, Pacific J. Math. 74 (1978) 519 MR0645400
24 F Waldhausen, Gruppen mit Zentrum und 3–dimensionale Mannigfaltigkeiten, Topology 6 (1967) 505 MR0236930