Calabi quasi-morphisms for some non-monotone symplectic manifolds

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).

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

References in corpus (3)

• Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds
• Mini-max theory, spectral invariants and geometry of the Hamiltonian diffeomorphism group
• Geometric variants of the Hofer norm

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