Calabi quasi-morphisms for some non-monotone symplectic manifolds

Ostrover, Yaron¹

¹School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

Algebraic and Geometric Topology, Tome 6 (2006) no. 1, pp. 405-434

Résumé

In this work we construct Calabi quasi-morphisms on the universal cover Ham˜(M) of the group of Hamiltonian diffeomorphisms for some non-monotone symplectic manifolds. This complements a result by Entov and Polterovich which applies in the monotone case. Moreover, in contrast to their work, we show that these quasi-morphisms descend to non-trivial homomorphisms on the fundamental group of Ham(M).

Détail

DOI : 10.2140/agt.2006.6.405

Keywords: symplectic manifolds, Hamiltonian diffeomorphisms, Quantum homology, Calabi quasi-morphisms

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