Symplectic reduction of quasi-morphisms and quasi-states

Matthew Strom Borman

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)225-246
Number of pages22
JournalJournal of Symplectic Geometry
Issue number2
StatePublished - Jun 2012
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology


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