Volume 7, issue 2 (2003)

Download this article
For printing
Recent Issues

Volume 29
Issue 2, 549–862
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Area preserving group actions on surfaces

John Franks and Michael Handel

Geometry & Topology 7 (2003) 757–771
Bibliography
1 G Atkinson, Recurrence of co-cycles and random walks, J. London Math. Soc. $(2)$ 13 (1976) 486 MR0419727
2 J S Birman, A Lubotzky, J McCarthy, Abelian and solvable subgroups of the mapping class groups, Duke Math. J. 50 (1983) 1107 MR726319
3 A J Casson, S A Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Mathematical Society Student Texts 9, Cambridge University Press (1988) MR964685
4 M Brown, J M Kister, Invariance of complementary domains of a fixed point set, Proc. Amer. Math. Soc. 91 (1984) 503 MR744656
5 C C Conley, E Zehnder, The Birkhoff–Lewis fixed point theorem and a conjecture of V I: Arnol'd, Invent. Math. 73 (1983) 33 MR707347
6 B Farb, H Masur, Superrigidity and mapping class groups, Topology 37 (1998) 1169 MR1632912
7 B Farb, P Shalen, Real-analytic actions of lattices, Invent. Math. 135 (1999) 273 MR1666834
8 , Travaux de Thurston sur les surfaces, Astérisque 66, Société Mathématique de France (1979) 284 MR568308
9 J M Franks, Homology and dynamical systems, CBMS Regional Conference Series in Mathematics 49, Published for the Conference Board of the Mathematical Sciences, Washington, D.C. (1982) MR669378
10 J Franks, Recurrence and fixed points of surface homeomorphisms, Ergodic Theory Dynam. Systems 8* (1988) 99 MR967632
11 J Franks, Generalizations of the Poincaré–Birkhoff theorem, Ann. of Math. $(2)$ 128 (1988) 139 MR951509
12 J Franks, Geodesics on $S^2$ and periodic points of annulus homeomorphisms, Invent. Math. 108 (1992) 403 MR1161099
13 J Franks, Area preserving homeomorphisms of open surfaces of genus zero, New York J. Math. 2 (1996) 1 MR1371312
14 J Franks, Rotation vectors and fixed points of area preserving surface diffeomorphisms, Trans. Amer. Math. Soc. 348 (1996) 2637 MR1325916
15 J Franks, Rotation numbers for area preserving homeomorphisms of the open annulus, from: "Dynamical systems and related topics (Nagoya, 1990)", Adv. Ser. Dynam. Systems 9, World Sci. Publ., River Edge, NJ (1991) 123 MR1164881
16 J Franks, M Handel, Periodic points of Hamiltonian surface diffeomorphisms, Geom. Topol. 7 (2003) 713 MR2026545
17 M Handel, Zero entropy surface diffeomorphisms, preprint
18 M Handel, A fixed-point theorem for planar homeomorphisms, Topology 38 (1999) 235 MR1660349
19 M Handel, Commuting homeomorphisms of $S^2$, Topology 31 (1992) 293 MR1167171
20 M Handel, W P Thurston, New proofs of some results of Nielsen, Adv. in Math. 56 (1985) 173 MR788938
21 G A Margulis, Discrete subgroups of semisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), Springer (1991) MR1090825
22 J N Mather, Invariant subsets for area preserving homeomorphisms of surfaces, from: "Mathematical analysis and applications, Part B", Adv. in Math. Suppl. Stud. 7, Academic Press (1981) 531 MR634258
23 J N Mather, Topological proofs of some purely topological consequences of Carathéodory's theory of prime ends, from: "Selected studies: physics-astrophysics, mathematics, history of science", North-Holland (1982) 225 MR662863
24 L Polterovich, Growth of maps, distortion in groups and symplectic geometry, Invent. Math. 150 (2002) 655 MR1946555
25 J C Rebelo, On nilpotent groups of real analytic diffeomorphisms of the torus, C. R. Acad. Sci. Paris Sér. I Math. 331 (2000) 317 MR1787192
26 J Tits, Systèmes générateurs de groupes de congruence, C. R. Acad. Sci. Paris Sér. A-B 283 (1976) MR0424966
27 W P Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. $($N.S.$)$ 19 (1988) 417 MR956596
28 D Witte, Arithmetic groups of higher $\mathbb{Q}$–rank cannot act on 1–manifolds, Proc. Amer. Math. Soc. 122 (1994) 333 MR1198459
29 R J Zimmer, Ergodic theory and semisimple groups, Monographs in Mathematics 81, Birkhäuser Verlag (1984) MR776417
30 R J Zimmer, Actions of semisimple groups and discrete subgroups, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986)", Amer. Math. Soc. (1987) 1247 MR934329