Algebraic & Geometric Topology Volume 24, issue 5 (2024)

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The strong Haken theorem via sphere complexes

Sebastian Hensel and Jennifer Schultens

Algebraic & Geometric Topology 24 (2024) 2707–2719

DOI: 10.2140/agt.2024.24.2707

Bibliography

1	J Bowden, S W Hensel, R Webb, Quasi-morphisms on surface diffeomorphism groups, J. Amer. Math. Soc. 35 (2022) 211 MR4322392
2	T Brendle, N Broaddus, A Putman, The mapping class group of connect sums of S² × S¹, Trans. Amer. Math. Soc. 376 (2023) 2557 MR4557874
3	L N Carvalho, U Oertel, A classification of automorphisms of compact 3–manifolds, preprint (2005) arXiv:math/0510610
4	H B Griffiths, Automorphisms of a 3–dimensional handlebody, Abh. Math. Sem. Univ. Hamburg 26 (1964) 191 MR0159313
5	F Gültepe, C J Leininger, W Pho-On, A universal Cannon–Thurston map and the surviving curve complex, Trans. Amer. Math. Soc. Ser. B 9 (2022) 99 MR4383231
6	W Haken, Some results on surfaces in 3–manifolds, from: "Studies in modern topology" (editor P J Hilton), Studies in Math. 5, Math. Assoc. America (1968) 39 MR224071
7	A Hatcher, Homological stability for automorphism groups of free groups, Comment. Math. Helv. 70 (1995) 39 MR1314940
8	J Hempel, 3–Manifolds, 86, Princeton Univ. Press (1976) MR415619
9	W Jaco, Lectures on three-manifold topology, 43, Amer. Math. Soc. (1980) MR0565450
10	F Laudenbach, Sur les 2–sphères d’une variété de dimension 3, Ann. of Math. 97 (1973) 57 MR0314054
11	F Laudenbach, Topologie de la dimension trois: homotopie et isotopie, 12, Soc. Math. France (1974) MR0356056
12	E Luft, Actions of the homeotopy group of an orientable 3–dimensional handlebody, Math. Ann. 234 (1978) 279 MR0500977
13	R Qiu, M Scharlemann, A proof of the Gordon conjecture, Adv. Math. 222 (2009) 2085 MR2562775
14	M Scharlemann, Generating the genus g + 1 Goeritz group of a genus g handlebody, from: "Geometry and topology down under" (editors C D Hodgson, W H Jaco, M G Scharlemann, S Tillmann), Contemp. Math. 597, Amer. Math. Soc. (2013) 347 MR3186683
15	M Scharlemann, Generating the Goeritz group of S³, (2020) arXiv:2011.10613
16	M Scharlemann, A strong Haken theorem, Algebr. Geom. Topol. 24 (2024) 717 MR4735044
17	J Schultens, Introduction to 3–manifolds, 151, Amer. Math. Soc. (2014) MR3203728
18	F Waldhausen, Heegaard–Zerlegungen der 3–Sphäre, Topology 7 (1968) 195 MR0227992