Algebraic & Geometric Topology Volume 17, issue 3 (2017)

Download this article
	For screen
	For printing

Recent 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

Fully irreducible automorphisms of the free group via Dehn twisting in $\sharp_k(S^2 \times S^1)$

Funda Gültepe

Algebraic & Geometric Topology 17 (2017) 1375–1405

DOI: 10.2140/agt.2017.17.1375

Bibliography

1	J Behrstock, M Bestvina, M Clay, Growth of intersection numbers for free group automorphisms, J. Topol. 3 (2010) 280 MR2651361
2	M Bestvina, M Feighn, Hyperbolicity of the complex of free factors, Adv. Math. 256 (2014) 104 MR3177291
3	M Bestvina, M Feighn, Subfactor projections, J. Topol. 7 (2014) 771 MR3252963
4	M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992) 1 MR1147956
5	M Clay, A Pettet, Twisting out fully irreducible automorphisms, Geom. Funct. Anal. 20 (2010) 657 MR2720227
6	M Clay, A Pettet, Relative twisting in outer space, J. Topol. Anal. 4 (2012) 173 MR2949239
7	M Culler, K Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91 MR830040
8	S Francaviglia, A Martino, Metric properties of outer space, Publ. Mat. 55 (2011) 433 MR2839451
9	I Gruschko, On the bases of a free product of groups, Rec. Math. [Mat. Sbornik] N.S. 8 (50) (1940) 169 MR0003412
10	V Guirardel, Cœur et nombre d’intersection pour les actions de groupes sur les arbres, Ann. Sci. École Norm. Sup. 38 (2005) 847 MR2216833
11	F Gültepe, Normal tori in ♯_n(S² × S¹), Topology Appl. 160 (2013) 953 MR3043125
12	H Hamidi-Tehrani, Groups generated by positive multi-twists and the fake lantern problem, Algebr. Geom. Topol. 2 (2002) 1155 MR1943336
13	A Hatcher, Homological stability for automorphism groups of free groups, Comment. Math. Helv. 70 (1995) 39 MR1314940
14	A Hatcher, D McCullough, Finite presentation of 3–manifold mapping class groups, from: "Groups of self-equivalences and related topics" (editor R A Piccinini), Lecture Notes in Math. 1425, Springer (1990) 48 MR1070575
15	A Hatcher, K Vogtmann, The complex of free factors of a free group, Quart. J. Math. Oxford Ser. 49 (1998) 459 MR1660045
16	C Horbez, Sphere paths in outer space, Algebr. Geom. Topol. 12 (2012) 2493 MR3020214
17	I Kapovich, M Lustig, Geometric intersection number and analogues of the curve complex for free groups, Geom. Topol. 13 (2009) 1805 MR2496058
18	I Kapovich, K Rafi, On hyperbolicity of free splitting and free factor complexes, preprint (2012) arXiv:1206.3626
19	I Kapovich, R Weidmann, Freely indecomposable groups acting on hyperbolic spaces, Internat. J. Algebra Comput. 14 (2004) 115 MR2058318
20	H Kneser, Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten, Jahresber. Dtsch. Math.-Ver. 38 (1929) 248
21	F Laudenbach, Topologie de la dimension trois: homotopie et isotopie, Société Mathématique de France (1974) MR0356056
22	G Levitt, M Lustig, Irreducible automorphisms of F_n have north-south dynamics on compactified outer space, J. Inst. Math. Jussieu 2 (2003) 59 MR1955207
23	B Mann, Some hyperbolic Out(F_N)–graphs and nonunique ergodicity of very small F_N trees, PhD thesis, University of Utah (2014)
24	H A Masur, Y N Minsky, Geometry of the complex of curves, II : Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
25	P Scott, G A Swarup, Splittings of groups and intersection numbers, Geom. Topol. 4 (2000) 179 MR1772808
26	A Shenitzer, Decomposition of a group with a single defining relation into a free product, Proc. Amer. Math. Soc. 6 (1955) 273 MR0069174
27	J R Stallings, A topological proof of Grushko’s theorem on free products, Math. Z. 90 (1965) 1 MR0188284
28	G A Swarup, Decompositions of free groups, J. Pure Appl. Algebra 40 (1986) 99 MR825183
29	S J Taylor, A note on subfactor projections, Algebr. Geom. Topol. 14 (2014) 805 MR3159971
30	W P Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988) 417 MR956596
31	K Vogtmann, Automorphisms of free groups and outer space, Geom. Dedicata 94 (2002) 1 MR1950871
32	R D Wade, Folding free-group automorphisms, Q. J. Math. 65 (2014) 291 MR3179663