Algebraic & Geometric Topology Volume 14, issue 2 (2014)

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On simplicial maps of the complexes of curves of nonorientable surfaces

Elmas Irmak

Algebraic & Geometric Topology 14 (2014) 1153–1180

DOI: 10.2140/agt.2014.14.1153

Bibliography

1	F Atalan, Automorphisms of complexes of curves on odd genus nonorientable surfaces arXiv:math.GT/0512368
2	F Atalan, M Korkmaz, Automorphisms of complexes of curves on nonorientable surfaces, to appear in Groups, Geometry and Dynamics
3	J Behrstock, D Margalit, Curve complexes and finite index subgroups of mapping class groups, Geom. Dedicata 118 (2006) 71 MR2239449
4	R W Bell, D Margalit, Injections of Artin groups, Comment. Math. Helv. 82 (2007) 725 MR2341838
5	T E Brendle, D Margalit, Commensurations of the Johnson kernel, Geom. Topol. 8 (2004) 1361 MR2119299
6	B Farb, N V Ivanov, The Torelli geometry and its applications: Research announcement, Math. Res. Lett. 12 (2005) 293 MR2150885
7	W J Harvey, Boundary structure of the modular group, from: "Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 245 MR624817
8	E Irmak, Injective simplicial maps of the complexes of curves on nonorientable surfaces arXiv:1203.4271
9	E Irmak, Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups, Topology 43 (2004) 513 MR2041629
10	E Irmak, Complexes of nonseparating curves and mapping class groups, Michigan Math. J. 54 (2006) 81 MR2214789
11	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
12	E Irmak, Injective simplicial maps of the complex of arcs on nonorientable surfaces, Algebr. Geom. Topol. 9 (2009) 2055 MR2551662
13	E Irmak, Simplicial maps of the complexes of curves on nonorientable surfaces (2012) arXiv:1112.1617v2
14	E Irmak, Superinjective simplicial maps of the complexes of curves on nonorientable surfaces, Turkish J. Math. 36 (2012) 407 MR2993573
15	E Irmak, N V Ivanov, J D McCarthy, Automorphisms of surface braid groups arXiv:math.GT/0306069
16	E Irmak, M Korkmaz, Automorphisms of the Hatcher–Thurston complex, Israel J. Math. 162 (2007) 183 MR2365859
17	E Irmak, J D McCarthy, Injective simplicial maps of the arc complex, Turkish J. Math. 34 (2010) 339 MR2681579
18	N V Ivanov, Automorphism of complexes of curves and of Teichmüller spaces, Internat. Math. Res. Notices (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	Y Kida, Automorphisms of the Torelli complex and the complex of separating curves, J. Math. Soc. Japan 63 (2011) 363 MR2793105
21	Y Kida, Injections of the complex of separating curves into the Torelli complex (2011) arXiv:0911.3926v3
22	Y Kida, The co-Hopfian property of the Johnson kernel and the Torelli group, Osaka J. Math. 50 (2013) 309 MR3080802
23	Y Kida, S Yamagata, Automorphisms of the Torelli complex for the one-holed genus two surface arXiv:1009.0568
24	Y Kida, S Yamagata, Commensurators of surface braid groups, J. Math. Soc. Japan 63 (2011) 1391 MR2855817
25	Y Kida, S Yamagata, The co-Hopfian property of surface braid groups (2013) arXiv:1006.2599v3
26	M Korkmaz, Automorphisms of complexes of curves on punctured spheres and on punctured tori, Topology Appl. 95 (1999) 85 MR1696431
27	F Luo, Automorphisms of the complex of curves, Topology 39 (2000) 283 MR1722024
28	D Margalit, Automorphisms of the pants complex, Duke Math. J. 121 (2004) 457 MR2040283
29	J D McCarthy, W R Vautaw, Automorphisms of Torelli groups arXiv:math.GT/0311250
30	M Scharlemann, The complex of curves on nonorientable surfaces, J. London Math. Soc. 25 (1982) 171 MR645874
31	K J Shackleton, Combinatorial rigidity in curve complexes and mapping class groups, Pacific J. Math. 230 (2007) 217 MR2318453