Theses Doctoral

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 CPⁿ. We also show that this quasimorphism agrees with the Calabi invariant for isotopies that are supported in displaceable subsets of CPⁿ.

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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