Academic Commons

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



  • thumnail for Carneiro_columbia_0054D_11322.pdf Carneiro_columbia_0054D_11322.pdf application/pdf 422 KB Download File

More About This Work

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