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arxiv: 1404.6408 · v3 · pith:CJPOOSMXnew · submitted 2014-04-25 · 🧮 math.SG

Quasi-morphisms and quasi-states in symplectic topology

classification 🧮 math.SG
keywords almostpropertiesquasi-morphismsquasi-statessymplectictopologyalgebraicapplications
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This is a survey about certain "almost homomorphisms" and "almost linear" functionals (called quasi-morphisms and quasi-states) in symplectic topology and their applications to Hamiltonian dynamics, functional-theoretic properties of Poisson brackets and algebraic and metric properties of symplectomorphism groups.

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