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
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.