期刊
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
卷 20, 期 2, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219199717500420
关键词
Hamiltonian diffeomorphisms; autonomous norm; quasi-morphisms; braid groups
资金
- Max Planck Institute for Mathematics
- CRM-ISM fellowship
- NSF [1002477, DMS-1128155]
- GIF-Young Grant [I-2419-304.6/2016]
- FP7-IDEAS-ERC Grant [258204]
- Mittag Leffler fellowship
We prove that the autonomous norm on the group of Hamiltonian diffeomorphisms of the two-dimensional torus is unbounded. We provide examples of Hamiltonian diffeomorphisms with arbitrarily large autonomous norm. For the proofs we construct explicit quasimorphisms on Ham(T-2), some of them are C-0-continuous and vanish on all autonomous diffeomorphisms, and some of them are Calabi.
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