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arXiv · 1110.1555

Quasi-morphisms and symplectic quasi-states for convex symplectic manifolds

Sergei Lanzat
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Abstract

We use quantum and Floer homology to construct (partial) quasi-morphisms on the universal cover of the group of compactly supported Hamiltonian diffeomorphisms for a certain class of non-closed strongly semi-positive symplectic manifolds $(M,ω)$. This leads to construction of (partial) symplectic quasi-states on the space of continuous functions on $M$ that are constant near infinity. The work extends the results by Entov and Polterovich, which apply in the closed case.

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Sergei Lanzat. 2011-12-21. Quasi-morphisms and symplectic quasi-states for convex symplectic manifolds. https://doi.org/10.1093/imrn%2Frns205

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