Commutators and diffeomorphisms of surfaces

Ergodic Theory and Dynamical Systems

Volumn 24, Issue 5, 2004, Pages 1591-1617

  Gambaudo, Jean Marc ^a   Ghys, Étienne ^b  

^a UNIVERSITÉ DE BOURGOGNE   (France)

^b UNITÉ DE MATHÉMATIQUES PURES ET APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 9344254355     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385703000737     Document Type: Article

References (21)

1. V. I. Arnold. The asymptotic Hopf invariant and its applications. Sel. Math. Sov. 5 (1986), 327-345.
2. V. Arnold and B. Khesin. Topological Methods in Hydrodynamics (Applied Mathematical Sciences, 125). Springer, New York, 1998.
3. M. Atiyah. The logarithm of the Dedekind η-function. Math. Ann. 278(1-4) (1987), 335-380.
4. A. Banyaga. The Structure of Classical Diffeomorphism Groups (Mathematics and Its Applications, 400). Kluwer, Dordrecht, 1997.
5. J. Barge and E. Ghys. Surfaces et cohomologie bornée. Invent. Math. 92(3) (1988), 509-526.
6. J. Barge and E. Ghys. Cocycles d'Euler et de Maslov. Math. Ann. 294(2) (1992), 235-265.
7. C. Bavard. Longueur stable des commutateurs. Enseign. Math. (2) 37(1-2) (1991), 109-150.
8. J. Birman. Braids, Links, and Mapping Class Groups (Annals of Mathematics Studies, 82). Princeton University Press, Princeton, NJ and University of Tokyo Press, Tokyo, 1974.
9. E. Calabi. On the group of automorphisms of a symplectic manifold. Problems in Analysis (Lectures at the Symp. in honor of Salomon Bochner, Princeton University, Princeton, NJ, 1969). Princeton University Press, Princeton, NJ, 1970, pp. 1-26.
10. M. Entov and L. Polterovich. Calabi quasi-morphism and quantum homology. Inst. Mat. Res. Not. 30 (2003), 1635-1676.
11. A. Fathi, F. Laudenbach and V. Poenaru. Travaux de Thurston sur les surfaces. Astérisque 66-67 (1979).
12. J.-M. Gambaudo and É. Ghys. Enlacements asymptotiques. Topology 36(6) (1997), 1355-1379.
13. J.-M. Gambaudo and É. Ghys. Braids and signatures. Bull. Soc. Math. France to appear.
14. É. Ghys. Groups acting on the circle. Enseign. Math. (2) 47(3-4) (2001), 329-407.
15. M. Herman. Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. Inst. Hautes Études Sci. Publ. Math. 49 (1979), 5-233.
16. F. Hirzebruch and D. Zagier. The Atiyah-Singer Theorem and Elementary Number Theory (Mathematics Lecture Series, 3). Publish or Perish, Boston, MA, 1974.
17. L. Kauffman. On Knots (Annals of Mathematics Studies, 115). Princeton University Press, Princeton, NJ, 1987.
18. K. Murasugi. Knot Theory and Its Applications (Translated from the 1993 Japanese original by Bohdan Kurpita). Birkhäuser Boston, Boston, MA, 1996.
19. D. Ruelle. Rotation numbers for diffeomorphisms and flows. Ann. Inst. H. Poincaré Phys. Théor. 42(1) (1985), 109-115.
20. S. Schwartzman. Asymptotic cycles. Ann. Math. (2) 66 (1957), 270-284.
21. 2. With a summary in English. Compiled in collaboration with Hyman Bass. Astérisque 46. Société Mathématique de France, Paris, 1977.