Calabi quasi-morphisms for some non-monotone symplectic manifolds
Symplectic Geometry
2009-03-06 v4 Differential Geometry
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).
Keywords
Cite
@article{arxiv.math/0508090,
title = {Calabi quasi-morphisms for some non-monotone symplectic manifolds},
author = {Yaron Ostrover},
journal= {arXiv preprint arXiv:math/0508090},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 12 March 2006