Symplectic reduction of quasi-morphisms and quasi-states

Details Symplectic reduction of quasi-morphisms and quasi-states Symplectic reduction of quasi-morphisms and quasi-states

2010-07-23

arxiv.org/abs/1007.4036v2

Mathematics

Symplectic Geometry

20 pages; v2: added remarks and updated references, to appear in Journal of Symplectic Geometry

Scientific paper

We prove that quasi-morphisms and quasi-states on a closed integral
symplectic manifold descend under symplectic reduction to symplectic hyperplane
sections. Along the way we show that quasi-morphisms that arise from spectral
invariants are the Calabi homomorphism when restricted to Hamiltonians
supported on stably displaceable sets.

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