Geometry & Topology Volume 18, issue 4 (2014)

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Realisation and dismantlability

Sebastian Hensel, Damian Osajda and Piotr Przytycki

Geometry & Topology 18 (2014) 2079–2126

DOI: 10.2140/gt.2014.18.2079

Bibliography

1	J A Barmak, E G Minian, Strong homotopy types, nerves and collapses, Discrete Comput. Geom. 47 (2012) 301 MR2872540
2	B H Bowditch, D B A Epstein, Natural triangulations associated to a surface, Topology 27 (1988) 91 MR935529
3	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundl. Math. Wissen. 319, Springer, Berlin (1999) MR1744486
4	P Buser, Geometry and spectra of compact Riemann surfaces, Modern Birkhäuser Classics, Birkhäuser (2010) MR2742784
5	V Chepoi, D Osajda, Dismantlability of weakly systolic complexes and applications, to appear in Trans. Amer. Math. Soc. (2014) arXiv:0910.5444v1
6	M Culler, Finite groups of outer automorphisms of a free group, from: "Contributions to group theory" (editors K I Appel, J G Ratcliffe, P E Schupp), Contemp. Math. 33, Amer. Math. Soc. (1984) 197 MR767107
7	B Farb, D Margalit, A primer on mapping class groups, Princeton Mathematical Series 49, Princeton Univ. Press (2012) MR2850125
8	D Gabai, Convergence groups are Fuchsian groups, Ann. of Math. 136 (1992) 447 MR1189862
9	U Hamenstädt, S Hensel, The geometry of the handlebody groups I: Distortion, J. Topol. Anal. 4 (2012) 71 MR2914874
10	U Hamenstädt, S Hensel, Sphere systems, intersections and the geometry of $\mathrm{Out}(F_n)$, (2014) arXiv:1109.2687v3
11	J L Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. 121 (1985) 215 MR786348
12	J L Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986) 157 MR830043
13	A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262
14	A Hatcher, Homological stability for automorphism groups of free groups, Comment. Math. Helv. 70 (1995) 39 MR1314940
15	L Ji, S A Wolpert, A cofinite universal space for proper actions for mapping class groups, from: "In the tradition of Ahlfors–Bers, V" (editors M Bonk, J Gilman, H Masur, Y Minsky, M Wolf), Contemp. Math. 510, Amer. Math. Soc. (2010) 151 MR2581835
16	R P Kent IV, C J Leininger, S Schleimer, Trees and mapping class groups, J. Reine Angew. Math. 637 (2009) 1 MR2599078
17	S P Kerckhoff, The Nielsen realization problem, Bull. Amer. Math. Soc. 2 (1980) 452 MR561531
18	S P Kerckhoff, The Nielsen realization problem, Ann. of Math. 117 (1983) 235 MR690845
19	D G Khramtsov, Finite groups of automorphisms of free groups, Mat. Zametki 38 (1985) 386, 476 MR811572
20	S Krstić, K Vogtmann, Equivariant outer space and automorphisms of free-by-finite groups, Comment. Math. Helv. 68 (1993) 216 MR1214230
21	F Laudenbach, Topologie de la dimension trois: Homotopie et isotopie, Astérisque 12, Société Mathématique de France, Paris (1974) MR0356056
22	H Masur, Measured foliations and handlebodies, Ergodic Theory Dynam. Systems 6 (1986) 99 MR837978
23	D McCullough, Virtually geometrically finite mapping class groups of $3$–manifolds, J. Differential Geom. 33 (1991) 1 MR1085134
24	D Meintrup, T Schick, A model for the universal space for proper actions of a hyperbolic group, New York J. Math. 8 (2002) 1 MR1887695
25	G Mislin, Classifying spaces for proper actions of mapping class groups, Münster J. Math. 3 (2010) 263 MR2775365
26	J Nielsen, Abbildungsklassen endlicher Ordnung, Acta Math. 75 (1943) 23 MR0013306
27	R C Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987) 299 MR919235
28	N Polat, Finite invariant simplices in infinite graphs, Period. Math. Hungar. 27 (1993) 125 MR1291160
29	P Przytycki, J Schultens, Contractibility of the Kakimizu complex and symmetric Seifert surfaces, Trans. Amer. Math. Soc. 364 (2012) 1489 MR2869183
30	S Schleimer, Notes on the complex of curves, (2005)
31	P Tukia, Homeomorphic conjugates of Fuchsian groups, J. Reine Angew. Math. 391 (1988) 1 MR961162
32	T White, Fixed points of finite groups of free group automorphisms, Proc. Amer. Math. Soc. 118 (1993) 681 MR1164152
33	S A Wolpert, Geodesic length functions and the Nielsen problem, J. Differential Geom. 25 (1987) 275 MR880186
34	H Zieschang, Finite groups of mapping classes of surfaces, Lecture Notes in Mathematics 875, Springer, Berlin (1981) MR643627
35	B Zimmermann, Über Abbildungsklassen von Henkelkörpern, Arch. Math. $($Basel$)$ 33 (1979/80) 379 MR564296
36	B Zimmermann, Über Homöomorphismen $n$–dimensionaler Henkelkörper und endliche Erweiterungen von Schottky-Gruppen, Comment. Math. Helv. 56 (1981) 474 MR639363