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Calabi quasi-morphisms for some non-monotone symplectic manifolds

Yaron Ostrover
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Abstract

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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BibTeXRIS

Yaron Ostrover. 2009-03-06. Calabi quasi-morphisms for some non-monotone symplectic manifolds. https://doi.org/10.2140/agt.2006.6.405

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