Dynamics on Thurston’s sphere of projective measured foliations
Tóm tắt
Từ khóa
Tài liệu tham khảo
Birman, J. S.,Braids, links and mapping class groups, Annals of Math. Studies, no82, Princeton University Press, (1974).
Birman, J. S., Lubotzky, A., andMcCarthy, J.,Abelian and solvable subgroups of the mapping class group, Duke Math. J.50 (1983) 1107–1120.
Brooks, R.,On branched coverings of 3-manifolds which fiber over the circle, Jour. fur die Reine und ang. Math., Band362 (1985) 87–101.
Fathi, A., etLaudenbach, F.,Difféomorphismes pseudo-Anosov et décomposition de Heegard, Comptes Rendus Acad. Sc. Paris t291 (1980) Série A, 423–425.
Fathi, A., Laudenbach, F., Poénaru, V.,et al., Travaux de Thurston sur les surfaces, Astérisque no 66-67 (1979).
Gilman, J.,Structures of elliptic irreducible subgroups of the modular group, Proc. London Math. Soc. (3)47 (1983) no 1, 27–42.
Harer, J., andPenner, R. C.,Combinatorics of train tracks, to appear.
Harvey, W. J.,Geometric structure of surface mapping class groups, inHomological Group Theory, edited by C. T. C. Wall, Cambridge University Press (1979).
Kerckhoff, S.,Simplicial systems for interval exchange maps and measured foliations, Erg. Th. and Dyn. Sy.5 (1985) 257–271.
Masur, H.,Interval exchange transformations and measured foliations, Ann. of Math.115 (1982) 169–200.
McCarthy, J.,Normalizers, and centralizers of pseudo-Anosov mapping classes, preprint available under request.
McCarthy, J.,A “Tits-Alternative” for subgroups of surface mapping class groups, Trans. of the AMS, vol.291, no 2 (1985) 583–612.
McCarthy, J.,pseudo-Anosov elements in subgroups of surface mapping groups, to appear.
Papadopoulos, A.,Difféomorphismes pseudo-Anosov et automorphismes symplectiques de l’homologie, Ann. Sc. Ec. Norm. Sup.15 (1982) 543–546.
Thurston, W.,The geometry and topology of 3-manifolds, lecture notes, Princeton University.