Volume 11, issue 2 (2011)

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

Volume 25
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

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
The intersecting kernels of Heegaard splittings

Fengchun Lei and Jie Wu

Algebraic & Geometric Topology 11 (2011) 887–908
Bibliography
1 A J Berrick, F R Cohen, Y L Wong, J Wu, Configurations, braids, and homotopy groups, J. Amer. Math. Soc. 19 (2006) 265 MR2188127
2 J S Birman, On the equivalence of Heegaard splittings of closed, orientable 3–manifolds, from: "Knots, groups, and 3–manifolds (Papers dedicated to the memory of R H Fox)" (editor L P Neuwirth), Ann. of Math. Studies 84, Princeton Univ. Press (1975) 137 MR0375318
3 J S Birman, The topology of 3–manifolds, Heegaard distance and the mapping class group of a 2–manifold, from: "Problems on mapping class groups and related topics" (editor B Farb), Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 133 MR2264538
4 W A Bogley, J H C Whitehead’s asphericity question, from: "Two-dimensional homotopy and combinatorial group theory" (editors C Hog-Angeloni, W Metzler, A J Sieradski), London Math. Soc. Lecture Note Ser. 197, Cambridge Univ. Press (1993) 309 MR1279184
5 K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
6 R Brown, J L Loday, Van Kampen theorems for diagrams of spaces, Topology 26 (1987) 311 MR899052
7 F R Cohen, J Wu, On braid groups, free groups, and the loop space of the 2–sphere, from: "Categorical decomposition techniques in algebraic topology (Isle of Skye, 2001)" (editors G Arone, J Hubbuck, R Levi, M Weiss), Progr. Math. 215, Birkhäuser (2004) 93 MR2039761
8 F R Cohen, J Wu, On braid groups and homotopy groups, from: "Groups, homotopy and configuration spaces" (editors N Iwase, T Kohno, R Levi, D Tamaki, J Wu), Geom. Topol. Monogr. 13, Geom. Topol. Publ. (2008) 169 MR2508205
9 J Hempel, 3-Manifolds, 86, Princeton Univ. Press (1976) MR0415619
10 W Jaco, Heegaard splittings and splitting homomorphisms, Trans. Amer. Math. Soc. 144 (1969) 365 MR0253340
11 W Jaco, Lectures on three-manifold topology, 43, Amer. Math. Soc. (1980) MR565450
12 F Lei, Haken spheres in the connected sum of two lens spaces, Math. Proc. Cambridge Philos. Soc. 138 (2005) 97 MR2127230
13 J Li, J Wu, Artin braid groups and homotopy groups, Proc. Lond. Math. Soc. (3) 99 (2009) 521 MR2551462
14 R C Lyndon, P E Schupp, Combinatorial group theory, 89, Springer (1977) MR0577064
15 J Milnor, A unique decomposition theorem for 3–manifolds, Amer. J. Math. 84 (1962) 1 MR0142125
16 J Morgan, G Tian, Ricci flow and the Poincaré conjecture, 3, Amer. Math. Soc. (2007) MR2334563
17 C D Papakyriakopoulos, A reduction of the Poincaré conjecture to group theoretic conjectures, Ann. of Math. (2) 77 (1963) 250 MR0145496
18 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
19 J Stallings, How not to prove the Poincaré conjecture, Ann. of Math. Study 60 (1966) 83
20 J Wu, Combinatorial descriptions of homotopy groups of certain spaces, Math. Proc. Cambridge Philos. Soc. 130 (2001) 489 MR1816806