dc.contributor.author Brandenbursky, Michael dc.contributor.author Kȩdra, Jarek dc.date.accessioned 2016-10-12T08:21:19Z dc.date.available 2016-10-12T08:21:19Z dc.date.issued 2012 dc.identifier.uri http://publications.mfo.de/handle/mfo/1253 dc.description OWLF 2012 en_US dc.description.abstract Let $D^2$ be the open unit disc in the Euclidean plane and let $G := Diff(D^2; area)$ be the group of smooth compactly supported area-preserving diffeomorphisms of $D^2$. For every natural number $k$ we construct an injective homomorphism $Z^k → G$, which is bi-Lipschitz with respect to the word metric on $Z^k$ and the autonomous metric on $G$. We also show that the space of homogeneous quasi-morphisms vanishing on all autonomous diffeomorphisms in the above group is infinite dimensional. en_US dc.language.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2012,16 dc.title On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2012-16 local.scientificprogram OWLF 2012 en_US local.series.id OWP-2012-16
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