Volume 9, issue 4 (2009)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

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
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
Amalgamations of Heegaard splittings in $3$–manifolds without some essential surfaces

Guoqiu Yang and Fengchun Lei

Algebraic & Geometric Topology 9 (2009) 2041–2054
Bibliography
1 D Bachman, S Schleimer, E Sedgwick, Sweepouts of amalgamated 3–manifolds, Algebr. Geom. Topol. 6 (2006) 171 MR2199458
2 K Hartshorn, Heegaard splittings of Haken manifolds have bounded distance, Pacific J. Math. 204 (2002) 61 MR1905192
3 J Hempel, 3–manifolds, 86, Princeton Univ. Press (1976) MR0415619
4 J Hempel, 3–manifolds as viewed from the curve complex, Topology 40 (2001) 631 MR1838999
5 W Jaco, Lectures on three-manifold topology, 43, Amer. Math. Soc. (1980) MR565450
6 T Kobayashi, R Qiu, The amalgamation of high distance Heegaard splittings is always efficient, Math. Ann. 341 (2008) 707 MR2399167
7 T Kobayashi, R Qiu, Y Rieck, S Wang, Separating incompressible surfaces and stabilizations of Heegaard splittings, Math. Proc. Cambridge Philos. Soc. 137 (2004) 633 MR2103921
8 M Lackenby, The Heegaard genus of amalgamated 3–manifolds, Geom. Dedicata 109 (2004) 139 MR2113191
9 F Lei, G Yang, A lower bound of genus of amalgamations of Heegaard splittings, Math. Proc. Cambridge Philos. Soc. 146 (2009) 615 MR2496347
10 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
11 M Scharlemann, Local detection of strongly irreducible Heegaard splittings, Topology Appl. 90 (1998) 135 MR1648310
12 M Scharlemann, Proximity in the curve complex: boundary reduction and bicompressible surfaces, Pacific J. Math. 228 (2006) 325 MR2274524
13 M Scharlemann, A Thompson, Thin position for 3–manifolds, from: "Geometric topology (Haifa, 1992)" (editors C Gordon, Y Moriah, B Wajnryb), Contemp. Math. 164, Amer. Math. Soc. (1994) 231 MR1282766
14 M Scharlemann, M Tomova, Alternate Heegaard genus bounds distance, Geom. Topol. 10 (2006) 593 MR2224466
15 J Schultens, The classification of Heegaard splittings for (compact orientable surface) ×S1, Proc. London Math. Soc. (3) 67 (1993) 425 MR1226608
16 J Schultens, Additivity of tunnel number for small knots, Comment. Math. Helv. 75 (2000) 353 MR1793793
17 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
18 J Souto, Distances in the curve complex and Heegaard genus, Preprint (2003)
19 G Yang, F Lei, On amalgamations of Heegaard splittings with high distance, Proc. Amer. Math. Soc. 137 (2009) 723 MR2448595