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Dynamics on free-by-cyclic groups

Spencer Dowdall, Ilya Kapovich and Christopher J Leininger

Geometry & Topology 19 (2015) 2801–2899
Bibliography
1 L M Abramov, The entropy of a derived automorphism, Dokl. Akad. Nauk SSSR 128 (1959) 647 MR0113984
2 I Agol, Ideal triangulations of pseudo-Anosov mapping tori, from: "Topology and geometry in dimension three" (editors W Li, L Bartolini, J Johnson, F Luo, R Myers, J H Rubinstein), Contemp. Math. 560, Amer. Math. Soc. (2011) 1 MR2866919
3 Y Algom-Kfir, E Hironaka, K Rafi, Digraphs and cycle polynomials for free-by-cyclic groups, Geom. Topol. 19 (2015) 1111 MR3336279
4 Y Algom-Kfir, K Rafi, Mapping tori of small dilatation expanding train-track maps, Topology Appl. 180 (2015) 44 MR3293265
5 L Alsedà, F Mañosas, P Mumbrú, Minimizing topological entropy for continuous maps on graphs, Ergodic Theory Dynam. Systems 20 (2000) 1559 MR1804944
6 M Bestvina, N Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997) 445 MR1465330
7 M Bestvina, M Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85 MR1152226
8 M Bestvina, M Feighn, Hyperbolicity of the complex of free factors, Adv. Math. 256 (2014) 104 MR3177291
9 M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992) 1 MR1147956
10 R Bieri, W D Neumann, R Strebel, A geometric invariant of discrete groups, Invent. Math. 90 (1987) 451 MR914846
11 R Bott, L W Tu, Differential forms in algebraic topology, 82, Springer (1982) MR658304
12 R Bowen, Topological entropy and axiom A, from: "Global Analysis", Proc. Symp. Pure Math. 14, Amer. Math. Soc. (1970) 23 MR0262459
13 P Brinkmann, Hyperbolic automorphisms of free groups, Geom. Funct. Anal. 10 (2000) 1071 MR1800064
14 P Brinkmann, S Schleimer, Computing triangulations of mapping tori of surface homeomorphisms, Experiment. Math. 10 (2001) 571 MR1881758
15 J O Button, Mapping tori with first Betti number at least two, J. Math. Soc. Japan 59 (2007) 351 MR2325689
16 D Calegari, J Maher, Statistics and compression of scl, Ergodic Theory Dynam. Systems 35 (2015) 64 MR3294292
17 M Clay, A Pettet, Twisting out fully irreducible automorphisms, Geom. Funct. Anal. 20 (2010) 657 MR2720227
18 M Denker, C Grillenberger, K Sigmund, Ergodic theory on compact spaces, 527, Springer (1976) MR0457675
19 S Dowdall, I Kapovich, C J Leininger, McMullen polynomials and Lipschitz flows for free-by-cyclic groups, arXiv:1310.7481
20 S Dowdall, I Kapovich, C J Leininger, Dynamics on free-by-cyclic groups, (2013) arXiv:1301.7739v5
21 S Dowdall, I Kapovich, C J Leininger, Unbounded asymmetry of stretch factors, C. R. Math. Acad. Sci. Paris 352 (2014) 885 MR3268757
22 T Downarowicz, Entropy in dynamical systems, 18, Cambridge Univ. Press (2011) MR2809170
23 N M Dunfield, Alexander and Thurston norms of fibered 3–manifolds, Pacific J. Math. 200 (2001) 43 MR1863406
24 B Farb, C J Leininger, D Margalit, Small dilatation pseudo-Anosov homeomorphisms and 3–manifolds, Adv. Math. 228 (2011) 1466 MR2824561
25 M Farber, R Geĭgan, D Shyutts, Closed 1–forms in topology and geometric group theory, Uspekhi Mat. Nauk 65 (2010) 145 MR2655245
26 A Fathi, F Laudenbach, V Poénaru, editors, Travaux de Thurston sur les surfaces, 66–67, Soc. Math. France (1979) 284 MR568308
27 M Feighn, M Handel, Mapping tori of free group automorphisms are coherent, Ann. of Math. 149 (1999) 1061 MR1709311
28 S Francaviglia, A Martino, Metric properties of outer space, Publ. Mat. 55 (2011) 433 MR2839451
29 D Fried, Flow equivalence, hyperbolic systems and a new zeta function for flows, Comment. Math. Helv. 57 (1982) 237 MR684116
30 D Fried, The geometry of cross sections to flows, Topology 21 (1982) 353 MR670741
31 D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
32 F Gautero, Dynamical 2–complexes, Geometriae Dedicata 88 (2001) 283 MR1877221
33 F Gautero, Feuilletages de 2–complexes, Ann. Fac. Sci. Toulouse Math. 10 (2001) 619 MR1944253
34 F Gautero, Cross sections to semi-flows on 2–complexes, Ergodic Theory Dynam. Systems 23 (2003) 143 MR1971200
35 F Gautero, Combinatorial mapping-torus, branched surfaces and free group automorphisms, Ann. Sc. Norm. Super. Pisa Cl. Sci. 6 (2007) 405 MR2370267
36 R Geoghegan, M L Mihalik, M Sapir, D T Wise, Ascending HNN extensions of finitely generated free groups are Hopfian, Bull. London Math. Soc. 33 (2001) 292 MR1817768
37 M Handel, L Mosher, The expansion factors of an outer automorphism and its inverse, Trans. Amer. Math. Soc. 359 (2007) 3185 MR2299451
38 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
39 I Kapovich, Algorithmic detectability of iwip automorphisms, Bull. Lond. Math. Soc. 46 (2014) 279 MR3194747
40 I Kapovich, M Lustig, Cannon–Thurston fibers for iwip automorphisms of FN, J. Lond. Math. Soc. 91 (2015) 203 MR3335244
41 I Kapovich, A Myasnikov, Stallings foldings and subgroups of free groups, J. Algebra 248 (2002) 608 MR1882114
42 I Kapovich, K Rafi, On hyperbolicity of free splitting and free factor complexes, Groups Geom. Dyn. 8 (2014) 391 MR3231221
43 G Levitt, 1–formes fermées singulières et groupe fondamental, Invent. Math. 88 (1987) 635 MR884804
44 D D Long, U Oertel, Hyperbolic surface bundles over the circle, from: "Progress in knot theory and related topics" (editors M Boileau, M Domergue, Y Mathieu, K Millett), Travaux en Cours 56, Hermann (1997) 121 MR1603150
45 C T McMullen, Polynomial invariants for fibered 3–manifolds and Teichmüller geodesics for foliations, Ann. Sci. École Norm. Sup. 33 (2000) 519 MR1832823
46 C T McMullen, The Alexander polynomial of a 3–manifold and the Thurston norm on cohomology, Ann. Sci. École Norm. Sup. 35 (2002) 153 MR1914929
47 L Mosher, Dynamical systems and the homology norm of a 3–manifold, I : Efficient intersection of surfaces and flows, Duke Math. J. 65 (1992) 449 MR1154179
48 L Mosher, Dynamical systems and the homology norm of a 3–manifold, II, Invent. Math. 107 (1992) 243 MR1144424
49 W D Neumann, Normal subgroups with infinite cyclic quotient, Math. Sci. 4 (1979) 143 MR562003
50 U Oertel, Homology branched surfaces : Thurston’s norm on H2(M3), from: "Low-dimensional topology and Kleinian groups" (editor D B A Epstein), London Math. Soc. Lecture Note Ser. 112, Cambridge Univ. Press (1986) 253 MR903869
51 U Oertel, Affine laminations and their stretch factors, Pacific J. Math. 182 (1998) 303 MR1609595
52 J P Otal, The hyperbolization theorem for fibered 3–manifolds, 7, Amer. Math. Soc. (2001) MR1855976
53 C Pfaff, Constructing and classifying fully irreducible outer automorphisms of free groups, arXiv:1205.5320
54 C Pfaff, Ideal Whitehead graphs in Out(Fr), II : The complete graph in each rank, J. Homotopy Relat. Struct. 10 (2015) 275 MR3348263
55 I Rivin, Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms, Duke Math. J. 142 (2008) 353 MR2401624
56 I Rivin, Zariski density and genericity, Int. Math. Res. Not. 2010 (2010) 3649 MR2725508
57 M Scharlemann, Sutured manifolds and generalized Thurston norms, J. Differential Geom. 29 (1989) 557 MR992331
58 J Stallings, On fibering certain 3–manifolds, from: "Topology of 3–manifolds and related topics", Prentice-Hall (1962) 95 MR0158375
59 J R Stallings, Topology of finite graphs, Invent. Math. 71 (1983) 551 MR695906
60 W P Thurston, A norm for the homology of 3–manifolds, 339, Amer. Math. Soc. (1986) MR823443
61 W P Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988) 417 MR956596
62 D Tischler, On fibering certain foliated manifolds over S1, Topology 9 (1970) 153 MR0256413
63 Z Wang, Mapping tori of outer automorphisms of free groups, PhD thesis, Rutgers, NJ (2002) MR2703150