Algebraic & Geometric Topology Volume 15, issue 2 (2015)

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The Lipschitz metric on deformation spaces of $G$–trees

Sebastian Meinert

Algebraic & Geometric Topology 15 (2015) 987–1029

DOI: 10.2140/agt.2015.15.987

Bibliography

1	Y Algom-Kfir, M Bestvina, Asymmetry of outer space, Geom. Dedicata 156 (2012) 81 MR2863547
2	H Bass, Covering theory for graphs of groups, J. Pure Appl. Algebra 89 (1993) 3 MR1239551
3	M Bestvina, A Bers-like proof of the existence of train tracks for free group automorphisms, Fund. Math. 214 (2011) 1 MR2845630
4	M Bestvina, M Feighn, Bounding the complexity of simplicial group actions on trees, Invent. Math. 103 (1991) 449 MR1091614
5	M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992) 1 MR1147956
6	I Chiswell, Introduction to $\Lambda$–trees, World Scientific (2001) MR1851337
7	M Clay, Contractibility of deformation spaces of $G$–trees, Algebr. Geom. Topol. 5 (2005) 1481 MR2186106
8	M Clay, A fixed point theorem for deformation spaces of $G$–trees, Comment. Math. Helv. 82 (2007) 237 MR2319929
9	M Culler, J W Morgan, Group actions on $\mathbb{R}$–trees, Proc. London Math. Soc. 55 (1987) 571 MR907233
10	M Culler, K Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91 MR830040
11	M Forester, Deformation and rigidity of simplicial group actions on trees, Geom. Topol. 6 (2002) 219 MR1914569
12	M Forester, Splittings of generalized Baumslag–Solitar groups, Geom. Dedicata 121 (2006) 43 MR2276234
13	S Francaviglia, A Martino, Stretching factors, metrics and train tracks for free products, arXiv:1312.4172
14	S Francaviglia, A Martino, Metric properties of outer space, Publ. Mat. 55 (2011) 433 MR2839451
15	V Guirardel, G Levitt, Deformation spaces of trees, Groups Geom. Dyn. 1 (2007) 135 MR2319455
16	V Guirardel, G Levitt, The outer space of a free product, Proc. Lond. Math. Soc. 94 (2007) 695 MR2325317
17	C Horbez, Spectral rigidity for primitive elements of $F_N$, arXiv:1405.4624
18	M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Math. 183, Birkhäuser (2001) MR1792613
19	G Levitt, On the automorphism group of generalized Baumslag–Solitar groups, Geom. Topol. 11 (2007) 473 MR2302496
20	E Meucci, Relative outer automorphisms of free groups, PhD thesis, The University of Utah (2011)
21	F Paulin, The Gromov topology on $\mathbb{R}$–trees, Topology Appl. 32 (1989) 197 MR1007101
22	P Scott, T Wall, Topological methods in group theory, from: "Homological group theory" (editor C T C Wall), London Math. Soc. Lecture Note Ser. 36, Cambridge Univ. Press (1979) 137 MR564422
23	J P Serre, Trees, Springer (1980) MR607504
24	R Skora, Deformation of length functions in groups, preprint
25	Y Stalder, Fixed point properties in the space of marked groups, from: "Limits of graphs in group theory and computer science" (editors G Arzhantseva, A Valette), EPFL Press (2009) 171 MR2562144
26	W P Thurston, Minimal stretch maps between hyperbolic surfaces, arXiv:math/9801039
27	J Tits, Sur le groupe des automorphismes d'un arbre, from: "Essays on topology and related topics (Mémoires dédiés à Georges de Rham)", Springer (1970) 188 MR0299534