Abstract
We prove that quasi-morphisms and quasi-states on a closed rational 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.
Original language | English (US) |
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Pages (from-to) | 225-246 |
Number of pages | 22 |
Journal | Journal of Symplectic Geometry |
Volume | 10 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2012 |
Externally published | Yes |
ASJC Scopus subject areas
- Geometry and Topology