Geometry & Topology Volume 8, issue 2 (2004)

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ISSN 1364-0380 (online)

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Global rigidity of solvable group actions on $S^1$

Lizzie Burslem and Amie Wilkinson

Geometry & Topology 8 (2004) 877–924

DOI: 10.2140/gt.2004.8.877

Bibliography

1	D Cerveau, R Moussu, Groupes d’automorphismes de (ℂ,0) et équations différentielles ydy + ⋯ = 0, Bull. Soc. Math. France 116 (1988) MR1005391
2	P M Elizarov, Y S Il’yashenko, A A Shcherbakov, S M Voronin, Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane, from: "Nonlinear Stokes phenomena", Adv. Soviet Math. 14, Amer. Math. Soc. (1993) 57 MR1206042
3	B Farb, J Franks, Groups of homeomorphisms of one-manifolds I: actions of nonlinear groups, preprint
4	B Farb, L Mosher, On the asymptotic geometry of abelian-by-cyclic groups, Acta Math. 184 (2000) 145 MR1768110
5	B Farb, P Shalen, Groups of real-analytic diffeomorphisms of the circle, Ergodic Theory Dynam. Systems 22 (2002) 835 MR1908556
6	É Ghys, Sur les groupes engendrés par des difféomorphismes proches de l’identité, Bol. Soc. Brasil. Mat. (N.S.) 24 (1993) 137 MR1254981
7	É Ghys, Groups acting on the circle, Enseign. Math. (2) 47 (2001) 329 MR1876932
8	N Kopell, Commuting diffeomorphisms, from: "Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968)", Amer. Math. Soc. (1970) 165 MR0270396
9	F Labourie, Large groups actions on manifolds, from: "Proceedings of the International Congress of Mathematicians, Vol II (Berlin, 1998)" (1998) 371 MR1648087
10	I Nakai, Separatrices for nonsolvable dynamics on ℂ,0, Ann. Inst. Fourier (Grenoble) 44 (1994) 569 MR1296744
11	A Navas, Groupes résolubles de difféomorphismes de l’intervalle, du cercle et de la droite, Bull. Braz. Math. Soc. (N.S.) 35 (2004) 13 MR2057043
12	J F Plante, W P Thurston, Polynomial growth in holonomy groups of foliations, Comment. Math. Helv. 51 (1976) 567 MR0436167
13	J C Rebelo, R R Silva, The multiple ergodicity of nondiscrete subgroups of Diff^ω(S¹), Mosc. Math. J. 3 (2003) 123, 259 MR1986539
14	S Sternberg, Local contractions and a theorem of Poincaré, Amer. J. Math. 79 (1957) 809 MR0096853
15	F Takens, Normal forms for certain singularities of vectorfields, Ann. Inst. Fourier (Grenoble) 23 (1973) 163 MR0365620
16	M Zhang, W Li, Embedding flows and smooth conjugacy, Chinese Ann. Math. Ser. B 18 (1997) 125 MR1457915