Volume 21, issue 7 (2021)

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

Volume 24
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
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
Handlebody bundles and polytopes

Sebastian Hensel and Dawid Kielak

Algebraic & Geometric Topology 21 (2021) 3445–3458
Bibliography
1 M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992) 1 MR1147956
2 R Bieri, W D Neumann, R Strebel, A geometric invariant of discrete groups, Invent. Math. 90 (1987) 451 MR914846
3 J S Birman, On the equivalence of Heegaard splittings of closed, orientable 3–manifolds, from: "Knots, groups, and 3–manifolds" (editor L P Neuwirth), Ann. of Math. Stud. 84, Princeton Univ. Press (1975) 137 MR0375318
4 J F Brock, Weil–Petersson translation distance and volumes of mapping tori, Comm. Anal. Geom. 11 (2003) 987 MR2032506
5 S Dowdall, I Kapovich, C J Leininger, Dynamics on free-by-cyclic groups, Geom. Topol. 19 (2015) 2801 MR3416115
6 S Dowdall, I Kapovich, C J Leininger, Endomorphisms, train track maps, and fully irreducible monodromies, Groups Geom. Dyn. 11 (2017) 1179 MR3737279
7 S Dowdall, I Kapovich, C J Leininger, McMullen polynomials and Lipschitz flows for free-by-cyclic groups, J. Eur. Math. Soc. 19 (2017) 3253 MR3713041
8 S Friedl, W Lück, Universal L2–torsion, polytopes and applications to 3–manifolds, Proc. Lond. Math. Soc. 114 (2017) 1114 MR3661347
9 F Funke, D Kielak, Alexander and Thurston norms, and the Bieri–Neumann–Strebel invariants for free-by-cyclic groups, Geom. Topol. 22 (2018) 2647 MR3811767
10 R Geoghegan, M L Mihalik, M Sapir, D T Wise, Ascending HNN extensions of finitely generated free groups are Hopfian, Bull. Lond. Math. Soc. 33 (2001) 292 MR1817768
11 H B Griffiths, Automorphisms of a 3–dimensional handlebody, Abh. Math. Sem. Univ. Hamburg 26 (1964) 191 MR159313
12 F Henneke, D Kielak, The agrarian polytope of two-generator one-relator groups, J. Lond. Math. Soc. 102 (2020) 722 MR4171432
13 S Hensel, A primer on handlebody groups, from: "Handbook of group actions, V" (editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math. 48, International (2020) 143 MR4237892
14 D Kielak, The Bieri–Neumann–Strebel invariants via Newton polytopes, Invent. Math. 219 (2020) 1009 MR4055183
15 C J Leininger, A W Reid, The co-rank conjecture for 3–manifold groups, Algebr. Geom. Topol. 2 (2002) 37 MR1885215
16 J P Mutanguha, Irreducibility of a free group endomorphism is a mapping torus invariant, Comment. Math. Helv. 96 (2021) 47 MR4228613
17 J Stallings, On fibering certain 3–manifolds, from: "Topology of 3–manifolds and related topics" (editor M K Fort Jr.), Prentice-Hall (1962) 95 MR0158375
18 W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 339, Amer. Math. Soc. (1986) 99 MR823443
19 W P Thurston, Three-dimensional geometry and topology, I, 35, Princeton Univ. Press (1997) MR1435975