Volume 9, issue 2 (2009)

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

Volume 22
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472

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
Stabilization, amalgamation and curves of intersection of Heegaard splittings

Ryan Derby-Talbot

Algebraic & Geometric Topology 9 (2009) 811–832
Bibliography
1 D Bachman, Barriers to topologically minimal surfaces arXiv:0903.1692
2 D Bachman, Heegaard splittings of sufficiently complicated 3–manifolds I : Stabilization arXiv:0903.1695
3 D Bachman, R Derby-Talbot, Degeneration of Heegaard genus, a survey, from: "Workshop on Heegaard Splittings" (editors C Gordon, Y Moriah), Geom. Topol. Monogr. 12 (2007) 1 MR2408242
4 D Bachman, S Schleimer, E Sedgwick, Sweepouts of amalgamated 3–manifolds, Algebr. Geom. Topol. 6 (2006) 171 MR2199458
5 A J Casson, C M Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275 MR918537
6 R Derby-Talbot, Heegaard splittings of toroidal 3–manifolds, PhD thesis, The University of Texas at Austin (2006) arXiv:math/0604116
7 R Derby-Talbot, Stabilizing Heegaard splittings of toroidal 3–manifolds, Topology Appl. 154 (2007) 1841 MR2319258
8 Y Hagiwara, Reidemeister–Singer distance for unknotting tunnels of a knot, Kobe J. Math. 11 (1994) 89 MR1309994
9 W Haken, Some results on surfaces in 3–manifolds, from: "Studies in Modern Topology", Math. Assoc. Amer. (Prentice-Hall) (1968) 39 MR0224071
10 J Hass, A Thompson, W P Thurston, Stabilization of Heegaard splittings arXiv:0802.2145
11 K Johannson, On surfaces and Heegaard surfaces, Trans. Amer. Math. Soc. 325 (1991) 573 MR1064268
12 K Johannson, Topology and combinatorics of 3–manifolds, 1599, Springer (1995) MR1439249
13 J Johnson, Bounding the stable genera of Heegaard splittings from below arXiv:0807.2866
14 J Johnson, Flipping and stabilizing Heegaard splittings arXiv:0805.4422
15 M Lackenby, The Heegaard genus of amalgamated 3–manifolds, Geom. Dedicata 109 (2004) 139 MR2113191
16 T Li, On the Heegaard splittings of amalgamated 3–manifolds, from: "Workshop on Heegaard Splittings" (editors C Gordon, Y Moriah), Geom. Topol. Monogr. 12 (2007) 157 MR2408246
17 E E Moise, Affine structures in 3–manifolds. V. The triangulation theorem and Hauptvermutung, Ann. of Math. (2) 56 (1952) 96 MR0048805
18 K Reidemeister, Zur dreidimensionalen Topologie, Abh. Math. Sem. Univ. Hamburg 9 (1933) 189
19 H Rubinstein, M Scharlemann, Comparing Heegaard splittings of non-Haken 3–manifolds, Topology 35 (1996) 1005 MR1404921
20 M Scharlemann, Heegaard splittings of compact 3–manifolds, from: "Handbook of geometric topology" (editors R J Daverman, R B Sher), North-Holland (2002) 921 MR1886684
21 M Scharlemann, A Thompson, Heegaard splittings of (surface) × I are standard, Math. Ann. 295 (1993) 549 MR1204837
22 J Schultens, The classification of Heegaard splittings for (compact orientable surface) ×S1, Proc. London Math. Soc. (3) 67 (1993) 425 MR1226608
23 J Schultens, The stabilization problem for Heegaard splittings of Seifert fibered spaces, Topology Appl. 73 (1996) 133 MR1416756
24 J Schultens, R Weidmann, Destabilizing amalgamated Heegaard splittings, from: "Workshop on Heegaard Splittings" (editors C Gordon, Y Moriah), Geom. Topol. Monogr. 12 (2007) 319 MR2408253
25 E Sedgwick, An infinite collection of Heegaard splittings that are equivalent after one stabilization, Math. Ann. 308 (1997) 65 MR1446199
26 J Singer, Three-dimensional manifolds and their Heegaard diagrams, Trans. Amer. Math. Soc. 35 (1933) 88 MR1501673
27 J Souto, Distances in the curve complex and the Heegaard genus, Preprint