A geometric construction of a Calabi quasimorphism on projective space

A geometric construction of a Calabi quasimorphism on projective space

by Andre R. Carneiro

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We use the rotation numbers defined by Théret in [T] to construct a quasimorphism on the universal cover of the Hamiltonian group of CP^n. We also show that this quasimorphism agrees with the Calabi invariant for isotopies that are supported in displaceable subsets of CP^n.

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