Algebraic & Geometric Topology Volume 9, issue 2 (2009)

Download this article
	For screen
	For printing

Recent 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

DOI: 10.2140/agt.2009.9.811

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