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A geometric construction of a Calabi quasimorphism on projective space

Carneiro, Andre R.

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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More About This Work

Academic Units
Mathematics
Thesis Advisors
McDuff, Dusa
Degree
Ph.D., Columbia University
Published Here
May 17, 2013