Volume 8, issue 2 (2004)

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

Volume 29
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Heegaard splittings of graph manifolds

Jennifer Schultens

Geometry & Topology 8 (2004) 831–876
Bibliography
1 M Boileau, J P Otal, Groupe des difféotopies de certaines variétés de Seifert, C. R. Acad. Sci. Paris Sér. I Math. 303 (1986) 19 MR849619
2 M Boileau, J P Otal, Scindements de Heegaard et groupe des homéotopies des petites variétés de Seifert, Invent. Math. 106 (1991) 85 MR1123375
3 F Bonahon, J P Otal, Scindements de Heegaard des espaces lenticulaires, Ann. Sci. École Norm. Sup. (4) 16 (1983) MR740078
4 G Burde, H Zieschang, Knots, 5, Walter de Gruyter & Co. (1985) MR808776
5 A J Casson, C M Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275 MR918537
6 D Cooper, M Scharlemann, The structure of a solvmanifold’s Heegaard splittings, from: "Proceedings of 6th Gökova Geometry–Topology Conference" (1999) 1 MR1701636
7 D B A Epstein, Periodic flows on three-manifolds, Ann. of Math. (2) 95 (1972) 66 MR0288785
8 D Gabai, Foliations and the topology of 3–manifolds III, J. Differential Geom. 26 (1987) 479 MR910018
9 J Hempel, 3–Manifolds, 86, Princeton University Press (1976) MR0415619
10 W Jaco, Lectures on three-manifold topology, 43, American Mathematical Society (1980) MR565450
11 W B R Lickorish, An introduction to knot theory, 175, Springer (1997) MR1472978
12 J Milnor, Lectures on the h–cobordism theorem, , Princeton University Press (1965) MR0190942
13 Y Moriah, J Schultens, Irreducible Heegaard splittings of Seifert fibered spaces are either vertical or horizontal, Topology 37 (1998) 1089 MR1650355
14 J Nielsen, Abbildungsklassen endlicher Ordnung, Acta Math. 75 (1943) 23 MR0013306
15 D Rolfsen, Knots and links, 7, Publish or Perish (1990) MR1277811
16 H Rubinstein, M Scharlemann, Comparing Heegaard splittings of non–Haken 3–manifolds, Topology 35 (1996) 1005 MR1404921
17 M Scharlemann, Local detection of strongly irreducible Heegaard splittings, Topology Appl. 90 (1998) 135 MR1648310
18 M Scharlemann, A Thompson, Thin position for 3–manifolds, from: "Geometric topology (Haifa, 1992)", Contemp. Math. 164, Amer. Math. Soc. (1994) 231 MR1282766
19 M Scharlemann, A Thompson, Heegaard splittings of (surface) ×I are standard, Math. Ann. 295 (1993) 549 MR1204837
20 J Schultens, The classification of Heegaard splittings for (compact orientable surface) ×S1, Proc. London Math. Soc. (3) 67 (1993) 425 MR1226608
21 J Schultens, Heegaard splittings of Seifert fibered spaces with boundary, Trans. Amer. Math. Soc. 347 (1995) 2533 MR1297537
22 J Schultens, Weakly reducible Heegaard splittings of Seifert fibered spaces, Topology Appl. 100 (2000) 219 MR1733046
23 J Schultens, Additivity of tunnel number for small knots, Comment. Math. Helv. 75 (2000) 353 MR1793793
24 J Schultens, R Weidman, On the geometric and the algebraic rank of graph manifolds, Pacific J. Math. 231 (2007) 481 MR2346507
25 W P Thurston, Three-dimensional geometry and topology Vol. 1, 35, Princeton University Press (1997) MR1435975
26 R Weidmann, Some 3–manifolds with 2–generated fundamental group, Arch. Math. (Basel) 81 (2003) 589 MR2029721