Calabi quasimorphisms for the symplectic ball
| dc.creator | Biran, Paul | |
| dc.creator | Entov, Michael | |
| dc.creator | Polterovich, Leonid | |
| dc.date | 2003-07-01 | |
| dc.date | 2003-10-29 | |
| dc.date.accessioned | 2026-07-07T04:59:20Z | |
| dc.date.available | 2026-07-07T04:59:20Z | |
| dc.description | We prove that the group of compactly supported symplectomorphisms of the standard symplectic ball admits a continuum of linearly independent real-valued homogeneous quasimorphisms. In addition these quasimorphisms are Lipschitz in the Hofer metric and have the following property: the value of each such quasimorphism on any symplectomorphism supported in any "sufficiently small" open subset of the ball equals the Calabi invariant of the symplectomorphism. By a "sufficiently small" open subset we mean that it can be displaced from itself by a symplectomorphism of the ball. As a byproduct we show that the (Lagrangian) Clifford torus in the complex projective space cannot be displaced from itself by a Hamiltonian isotopy. | |
| dc.description | Minor errors corrected. To appear in Communications in Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0307011 | |
| dc.identifier | http://arxiv.org/abs/math/0307011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67942 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D22, 53D05, 53D40, 53D45 | |
| dc.title | Calabi quasimorphisms for the symplectic ball | |
| dc.type | text |