Complexes of nonseparating curves and mapping class groups

Michigan Mathematical Journal

Volumn 54, Issue 1, 2006, Pages 81-110

  Irmak, Elmas ^a,b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b BOWLING GREEN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744736264     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1144437439     Document Type: Review

References (19)

1. [BLuM] J. S. Birman, A. Lubotzky, and J. D. McCarthy, Abelian and solvable subgroups of the mapping class groups, Duke Math. J. 50 (1983), 1107-1120.
2. [BrMa] T. E. Brendle and D. Margalit, Commensurations of the Johnson Kernel, Geom. Topol. 8 (2004), 1361-1384.
3. [FIv] B. Farb and N. Ivanov, The Torelli geometry and its applications: Research announcement, Math. Res. Lett. 12 (2005), 293-301.
4. [H] W. J. Harvey, Geometric structures of surface mapping class groups, Homological group theory (C. T. Wall, ed.), London Math. Soc. Lecture Note Ser., 36, pp. 255-269, Cambridge Univ. Press, London, 1979.
5. [I1] E. Irmak, Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups, Topology 43 (2004), 513-541.
6. _, Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups II, Topology Appl. (to appear), 〈http://front.math.ucdavis.edu/math.GT/0311407〉.
7. [IK] E. Irmak and M. Korkmaz, Automorphisms of the Hatcher-Thurston complex (submitted), 〈http://front.math.ucdavis.edu/math.GT/0409033〉.
8. [Iv1] N. V. Ivanov, Automorphisms of complexes of curves and of Teichmuller spaces, Internat. Math. Res. Notices 14 (1997), 651-666.
9. [Iv2] _, Subgroups of Teichmuller modular groups, Transi. Math. Monogr., 115, Amer. Math. Soc., Providence, RI, 1992.
10. [IvM] N. V. Ivanov and J. D. McCarthy, On injective homomorphisms between Teichmuller modular groups I, Invent. Math. 135 (1999), 425-486.
11. [K] M. Korkmaz, Automorphisms of complexes of curves on punctured spheres and on punctured tori, Topology Appl. 95 (1999), 85-111.
12. [L1] F. Luo, On non-separating simple closed curves in a compact surface, Electron. Res. Announc. Amer. Math. Soc. 1 (1995), 18-25.
13. [L2] _, Automorphisms of the complexes of curves, Topology 39 (2000), 283-298.
14. [Ma] D. Margalit, Automorphisms of the pants complex, Duke Math. J. 121 (2004), 457-479.
15. [M1] J. D. McCarthy, Automorphisms of surface mapping class groups. A recent theorem of N. Ivanov, Invent. Math. 84 (1986), 49-71.
16. [M2] _, Normalizers and centralizers of pseudo-Anosov mapping classes (manuscript available for informal distribution on request).
17. [MV] J. D. McCarthy and W. R. Vautaw, Automorphisms of Torelli groups, 〈http://front.math.ucdavis.edu/math.GT/0311250〉.
18. [Mo] L. Mosher, Tiling the projective foliation space of a punctured surface, Trans. Amer. Math. Soc. 306 (1988), 1-70.
19. [S] P. S. Schaller, Mapping class groups of hyperbolic surfaces and automorphism groups of graphs, Compositio Math. 122 (2000), 243-260.