Calabi quasi-morphisms and Reeb graph on the torus
We construct homogeneous quasi-morphisms on the identity component of the group of area preserving diffeomorphisms of the two dimensional torus, whose restriction to the subgroup of diffeomorphisms with support in any fixed disc equals Calabi's invariant.
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| Veröffentlicht in: | Comptes rendus. Mathématique 2006-09, Vol.343 (5), p.323-328 |
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| Format: | Artikel |
| Sprache: | eng ; fre |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We construct homogeneous quasi-morphisms on the identity component of the group of area preserving diffeomorphisms of the two dimensional torus, whose restriction to the subgroup of diffeomorphisms with support in any fixed disc equals Calabi's invariant. |
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| ISSN: | 1631-073X 1778-3569 |
| DOI: | 10.1016/j.crma.2006.07.006 |