Calabi quasi-morphisms for some non-monotone symplectic manifolds

Details Calabi quasi-morphisms for some non-monotone symplectic manifolds Calabi quasi-morphisms for some non-monotone symplectic manifolds

2005-08-04

arxiv.org/abs/math/0508090v4

Algebr. Geom. Topol. 6 (2006) 405-434

Mathematics

Symplectic Geometry

This is the version published by Algebraic & Geometric Topology on 12 March 2006

Scientific paper

10.2140/agt.2006.6.405

In this work we construct Calabi quasi-morphisms on the universal cover of the group Ham(M) 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).

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