dc.contributor.author Brandenbursky, Michael dc.date.accessioned 2016-09-22T10:46:39Z dc.date.available 2016-09-22T10:46:39Z dc.date.issued 2013-07-23 dc.identifier.uri http://publications.mfo.de/handle/mfo/199 dc.description OWLF 2013 en_US dc.description.abstract Let $\Sigma_g$ be a closed hyperbolic surface of genus $g$ and let Ham($\Sigma_ g$) be the group of Hamiltonian diffeomorphisms of $\Sigma_g$. The most natural word metric on this group is the autonomous metric. It has many interesting properties, most important of which is the bi-invariance of this metric. In this work we show that Ham($\Sigma_g$) is unbounded with respect to this metric. en_US dc.language.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2013,18 dc.subject Groups of Hamiltonian Diffeomorphisms en_US dc.subject Mapping Class Groups en_US dc.subject Quasi-Morphisms en_US dc.subject Bi-Invariant Metrics en_US dc.title On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2013-18 local.scientificprogram OWLF 2013 local.series.id OWP-2013-18 local.subject.msc 53 local.subject.msc 57
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