Calabi quasimorphism and quantum homology
| dc.creator | Entov, Michael | |
| dc.creator | Polterovich, Leonid | |
| dc.date | 2002-05-23 | |
| dc.date | 2002-09-12 | |
| dc.date.accessioned | 2026-07-07T04:48:40Z | |
| dc.date.available | 2026-07-07T04:48:40Z | |
| dc.description | We prove that the group of area-preserving diffeomorphisms of the 2-sphere admits a non-trivial homogeneous quasimorphism to the real numbers with the following property. Its value on any diffeomorphism supported in a sufficiently small open subset of the sphere equals to the Calabi invariant of the diffeomorphism. This result extends to more general symplectic manifolds: If the symplectic manifold is monotone and its quantum homology algebra is semi-simple we construct a similar quasimorphism on the universal cover of the group of Hamiltonian diffeomorphisms. | |
| dc.description | Revised and considerably extended version; links to Seidel representation and combinatorics added | |
| dc.identifier | https://arxiv.org/abs/math/0205247 | |
| dc.identifier | http://arxiv.org/abs/math/0205247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64136 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 53D22, 53D05, 53D40, 53D45 | |
| dc.title | Calabi quasimorphism and quantum homology | |
| dc.type | text |