Calabi quasimorphisms for the symplectic ball

Communications in Contemporary Mathematics

Volumn 6, Issue 5, 2004, Pages 793-802

  Biran, Paul ^a   Entov, Michael ^b   Polterovich, Leonid ^a  

^a TEL AVIV UNIVERSITY   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Hamiltonian diffeomorphism; Lagrangian submanifold; Quasimorphism; Symplectic manifold

Indexed keywords

EID: 8744296062     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199704001525     Document Type: Article

References (12)

1. C. Bavard, Longueur stable des commutateurs, L'Enseign. Math. 37(1-2) (1991) 109-150.
2. A. Banyaga, Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique, Comment. Math. Helv. 53(2) (1978) 174-227.
3. J. Barge and E. Ghys, Cocycles d'Euler et de Maslov, Math. Ann. 294(2) (1992) 235-265.
4. M. Bestvina and K. Fujiwara, Bounded cohomology of subgroups of mapping class groups, Geom. Topol. 6 (2002) 69-89.
5. P. Biran, Lagrangian Barriers and Symplectic Embeddings, Geom. Funct. Anal. 11(3) (2001) 407-464.
6. E. Calabi, On the group of automorphisms of a symplectic manifold, in Problems in Analysis (Princeton University Press, 1970), pp. 1-26.
7. D. B. A. Epstein and K. Fujiwara, The second bounded cohomology of word hyperbolic groups, Topology 36 (1997) 1275-1289.
8. M. Entov and L. Polterovich, Calabi quasimorphism and quantum homology, Int. Math. Res. Not. 30 (2003) 1635-1676.
9. J.-M. Gambaudo and E. Ghys, Commutators and diffeomorphisms of surfaces, preprint, October 2002.
10. H. Hofer, On the topological properties of symplectic maps, Proc. Royal Soc. Edinburgh 115A (1990) 25-38.
11. D. McDuff and D. Salamon, Introduction to Symplectic Topology (Oxford University Press, Oxford, 1995).
12. L. Polterovich, The Geometry of the Group of Symplectic Diffeomorphisms (Birkhäuser, 2001).