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Volumn 230, Issue 1, 2007, Pages 217-232

Combinatorial rigidity in curve complexes and mapping class groups

Author keywords

Curve complex; Mapping class group

Indexed keywords


EID: 35648937466     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2007.230.217     Document Type: Article
Times cited : (62)

References (22)
  • 1
    • 33744783164 scopus 로고    scopus 로고
    • Curve complexes and finite index subgroups of mapping class groups
    • J. A. Behrstock and D. Margalit, "Curve complexes and finite index subgroups of mapping class groups", Geom. Dedicata 118 (2006), 71-85.
    • (2006) Geom. Dedicata , vol.118 , pp. 71-85
    • Behrstock, J.A.1    Margalit, D.2
  • 2
    • 84904307489 scopus 로고    scopus 로고
    • Injections of Artin groups
    • Preprint, To appear in
    • R. W. Bell and D. Margalit, "Injections of Artin groups", Preprint, 2005. To appear in Comment. Math. Helv. math.
    • (2005) Comment.Math. Helv.
    • Bell, R.W.1    Margalit, D.2
  • 3
    • 33746660361 scopus 로고    scopus 로고
    • Braid groups and the co-Hopfian property
    • R. W. Bell and D. Margalit, "Braid groups and the co-Hopfian property", J. Algebra 303:1 (2006), 275-294.
    • (2006) J. Algebra , vol.303 , Issue.1 , pp. 275-294
    • Bell, R.W.1    Margalit, D.2
  • 4
    • 0003316111 scopus 로고
    • Braids, links, and mapping class groups
    • Princeton University Press, Princeton, NJ
    • J. S. Birman, Braids, links, and mapping class groups, Ann. of Math. Stud. 82, Princeton University Press, Princeton, NJ, 1974.
    • (1974) Ann. of Math. Stud , vol.82
    • Birman, J.S.1
  • 5
    • 6944226177 scopus 로고    scopus 로고
    • Commensurations of the Johnson kernel
    • T. E. Brendle and D. Margalit, "Commensurations of the Johnson kernel", Geom. Topol. 8 (2004), 1361-1384.
    • (2004) Geom. Topol. , vol.8 , pp. 1361-1384
    • Brendle, T.E.1    Margalit, D.2
  • 6
    • 37949002660 scopus 로고    scopus 로고
    • The classification of Kleinian surface groups, II: The ending lamination conjecture
    • J. F. Brock, R. D. Canary, and Y. N. Minsky, "The classification of Kleinian surface groups, II: The ending lamination conjecture", Preprint, 2004.
    • Brock, J.F.1    Canary, R.D.2    Minsky, Y.N.3
  • 8
    • 23244457367 scopus 로고    scopus 로고
    • The Torelli geometry and its applications: research announcement
    • B. Farb and N. V. Ivanov, "The Torelli geometry and its applications: research announcement", Math. Res. Lett. 12:2-3 (2005), 293-301.
    • (2005) Math. Res. Lett. , vol.12 , Issue.2-3 , pp. 293-301
    • Farb, B.1    Ivanov, N.V.2
  • 9
    • 0001265737 scopus 로고
    • Boundary structure of the modular group
    • in , Stony Brook, 1978), edited by I. Kra and B. Maskit, Princeton Univ. Press, Princeton, N.J.
    • W. J. Harvey, "Boundary structure of the modular group", pp. 245-251 in Riemann surfaces and related topics (Stony Brook, 1978), edited by I. Kra and B. Maskit, Ann. of Math. Stud. 97, Princeton Univ. Press, Princeton, N.J., 1981.
    • (1981) Riemann surfaces and related topics , vol.97 , pp. 245-251
    • Harvey, W.J.1
  • 10
    • 33644616921 scopus 로고    scopus 로고
    • Homomorphisms from mapping class groups
    • W. J. Harvey and M. Korkmaz, "Homomorphisms from mapping class groups", Bull. London Math. Soc. 37:2 (2005), 275-284.
    • (2005) Bull. London Math. Soc. , vol.37 , Issue.2 , pp. 275-284
    • Harvey, W.J.1    Korkmaz, M.2
  • 11
    • 32144453747 scopus 로고    scopus 로고
    • Complexes of non-separating curves and mapping class groups
    • preprint
    • E. Irmak, "Complexes of non-separating curves and mapping class groups", preprint, 2004.
    • (2004)
    • Irmak, E.1
  • 12
    • 1542404083 scopus 로고    scopus 로고
    • Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups
    • E. Irmak, "Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups", Topology 43:3 (2004), 513-541.
    • (2004) Topology , vol.43 , Issue.3 , pp. 513-541
    • Irmak, E.1
  • 13
    • 32144461897 scopus 로고    scopus 로고
    • Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups. II
    • E. Irmak, "Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups. II", Topology Appl. 153:8 (2006), 1309-1340.
    • (2006) Topology Appl. , vol.153 , Issue.8 , pp. 1309-1340
    • Irmak, E.1
  • 14
    • 1542640314 scopus 로고
    • Subgroups of Teichmüller modular groups
    • American Mathematical Society, Providence, RI
    • N. V. Ivanov, Subgroups of Teichmüller modular groups, Translations of Mathematical Monographs 115, American Mathematical Society, Providence, RI, 1992.
    • (1992) Translations of Mathematical Monographs , vol.115
    • Ivanov, N.V.1
  • 15
    • 1842665153 scopus 로고    scopus 로고
    • Automorphisms of complexes of curves and of Teichmüller spaces
    • N. V. Ivanov, "Automorphisms of complexes of curves and of Teichmüller spaces", Internat. Math. Res. Notices 1997:14 (1997), 651-666.
    • (1997) Internat. Math. Res. Notices , vol.1997 , Issue.14 , pp. 651-666
    • Ivanov, N.V.1
  • 16
    • 0033248915 scopus 로고    scopus 로고
    • On injective homomorphisms between Teichmüller modular groups, I
    • N. V. Ivanov and J. D. McCarthy, "On injective homomorphisms between Teichmüller modular groups, I", Invent. Math. 135:2 (1999), 425-486.
    • (1999) Invent. Math. , vol.135 , Issue.2 , pp. 425-486
    • Ivanov, N.V.1    McCarthy, J.D.2
  • 17
    • 0007266437 scopus 로고    scopus 로고
    • Automorphisms of complexes of curves on punctured spheres and on punctured tori
    • M. Korkmaz, "Automorphisms of complexes of curves on punctured spheres and on punctured tori", Topology Appl. 95:2 (1999), 85-111.
    • (1999) Topology Appl. , vol.95 , Issue.2 , pp. 85-111
    • Korkmaz, M.1
  • 18
    • 0034148302 scopus 로고    scopus 로고
    • Automorphisms of the complex of curves
    • F. Luo, "Automorphisms of the complex of curves", Topology 39:2 (2000), 283-298.
    • (2000) Topology , vol.39 , Issue.2 , pp. 283-298
    • Luo, F.1
  • 19
    • 1842421978 scopus 로고    scopus 로고
    • Automorphisms of the pants complex
    • D. Margalit, "Automorphisms of the pants complex", Duke Math. J. 121:3 (2004), 457-479.
    • (2004) Duke Math. J. , vol.121 , Issue.3 , pp. 457-479
    • Margalit, D.1
  • 20
    • 0042728484 scopus 로고    scopus 로고
    • Mapping class groups of hyperbolic surfaces and automorphism groups of graphs
    • P. Schmutz Schaller, "Mapping class groups of hyperbolic surfaces and automorphism groups of graphs", Compositio Math. 122:3 (2000), 243-260.
    • (2000) Compositio Math. , vol.122 , Issue.3 , pp. 243-260
    • Schmutz Schaller, P.1
  • 21
    • 84904310960 scopus 로고    scopus 로고
    • Aspects of the curve complex and the mapping class group
    • Ph.D. thesis, University of Southampton
    • K. J. Shackleton, Aspects of the curve complex and the mapping class group, Ph.D. thesis, University of Southampton, 2005.
    • (2005)
    • Shackleton, K.J.1
  • 22
    • 0002524950 scopus 로고
    • Links, two-sheeted branching coverings and braids
    • O. J. Viro, "Links, two-sheeted branching coverings and braids", Mat. Sb. (N.S.) 87:129 (1972), 216-228.
    • (1972) Mat. Sb. (N.S.) , vol.87 , Issue.129 , pp. 216-228
    • Viro, O.J.1


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