Geometry & Topology Volume 13, issue 5 (2009)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author index

To appear

Other MSP journals

Injections of mapping class groups

Javier Aramayona, Christopher J Leininger and Juan Souto

Geometry & Topology 13 (2009) 2523–2541

DOI: 10.2140/gt.2009.13.2523

Bibliography

1	J Behrstock, D Margalit, Curve complexes and finite index subgroups of mapping class groups, Geom. Dedicata 118 (2006) 71 MR2239449
2	R W Bell, D Margalit, Braid groups and the co-Hopfian property, J. Algebra 303 (2006) 275 MR2253663
3	L Bers, Fiber spaces over Teichmüller spaces, Acta. Math. 130 (1973) 89 MR0430318
4	J S Birman, Mapping class groups and their relationship to braid groups, Comm. Pure Appl. Math. 22 (1969) 213 MR0243519
5	J S Birman, H M Hilden, On the mapping class groups of closed surfaces as covering spaces, from: "Advances in the theory of Riemann surfaces (Proc. Conf., Stony Brook, N.Y., 1969)", Ann. of Math. Studies 66, Princeton Univ. Press (1971) 81 MR0292082
6	J S Birman, H M Hilden, On isotopies of homeomorphisms of Riemann surfaces, Ann. of Math. $(2)$ 97 (1973) 424 MR0325959
7	O V Bogopol′skiĭ, D V Puga, On the embedding of the outer automorphism group $\mathrm{Out}(F_n)$ of a free group of rank $n$ into the group $\mathrm{Out}(F_m)$ for $m\gt n$, Algebra Logika 41 (2002) 123, 253 MR1922984
8	R D Canary, D B A Epstein, P Green, Notes on notes of Thurston, from: "Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984)" (editor D B A Epstein), London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987) 3 MR903850
9	N M Dunfield, W P Thurston, Finite covers of random $3$–manifolds, Invent. Math. 166 (2006) 457 MR2257389
10	J Eells, L Lemaire, Selected topics in harmonic maps, CBMS Regional Conference Series in Math. 50, Conference Board of the Math. Sciences (1983) MR703510
11	B Farb, D Margalit, A primer on mapping class groups
12	P Hall, The Eulerian functions of a group, Quart. J. Math., Oxf. Ser. 7 (1936) 134
13	W J Harvey, M Korkmaz, Homomorphisms from mapping class groups, Bull. London Math. Soc. 37 (2005) 275 MR2119027
14	J Hubbard, H Masur, Quadratic differentials and foliations, Acta Math. 142 (1979) 221 MR523212
15	E Irmak, Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups, Topology 43 (2004) 513 MR2041629
16	E Irmak, Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups. II, Topology Appl. 153 (2006) 1309 MR2202856
17	N V Ivanov, Automorphisms of Teichmüller modular groups, from: "Topology and geometry—Rohlin Seminar" (editor O Viro), Lecture Notes in Math. 1346, Springer (1988) 199 MR970079
18	N V Ivanov, Automorphism of complexes of curves and of Teichmüller spaces, Internat. Math. Res. Notices 1997 (1997) 651 MR1460387
19	N V Ivanov, J D McCarthy, On injective homomorphisms between Teichmüller modular groups. I, Invent. Math. 135 (1999) 425 MR1666775
20	B J., H Masur, Y Minsky, Asymptotics of Weil–Petersson geodesics I: ending laminations, recurrence, and flows arXiv:0802.1370
21	R P Kent IV, C J Leininger, Subgroups of mapping class groups from the geometrical viewpoint, from: "In the tradition of Ahlfors–Bers. IV" (editors D Canary, J Gilman, J Heinonen, H Masur), Contemp. Math. 432, Amer. Math. Soc. (2007) 119 MR2342811
22	S P Kerckhoff, The Nielsen realization problem, Ann. of Math. $(2)$ 117 (1983) 235 MR690845
23	I Kra, On the Nielsen–Thurston–Bers type of some self-maps of Riemann surfaces, Acta Math. 146 (1981) 231 MR611385
24	C Maclachlan, W J Harvey, On mapping class groups and Teichmüller spaces, Proc. London Math. Soc. $(3)$ 30 (1975) 496 MR0374414
25	H Masur, Interval exchange transformations and measured foliations, Ann. of Math. $(2)$ 115 (1982) 169 MR644018
26	J D McCarthy, Automorphisms of surface mapping class groups. A recent theorem of N Ivanov, Invent. Math. 84 (1986) 49 MR830038
27	J D McCarthy, A Papadopoulos, Dynamics on Thurston's sphere of projective measured foliations, Comment. Math. Helv. 64 (1989) 133 MR982564
28	G Mess, Unit tangent bundle subgroups of the mapping class group, Preprint IHES/M/90/30
29	L Paris, D Rolfsen, Geometric subgroups of mapping class groups, J. Reine Angew. Math. 521 (2000) 47 MR1752295
30	K J Shackleton, Combinatorial rigidity in curve complexes and mapping class groups, Pacific J. Math. 230 (2007) 217 MR2318453