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dc.contributor.author
Rolli, Pascal
dc.date.accessioned
2020-09-28T12:50:26Z
dc.date.available
2017-06-09T05:22:20Z
dc.date.available
2020-09-28T12:47:18Z
dc.date.available
2020-09-28T12:49:52Z
dc.date.available
2020-09-28T12:50:26Z
dc.date.issued
2009-11-23
dc.identifier.uri
http://hdl.handle.net/20.500.11850/22160
dc.description.abstract
Let F be the free group over a set of two or more generators. In [2] R. Brooks constructed an infinite family of quasi-morphisms F -> R such that an infinite subfamily gives rise to independent classes in the second bounded cohomology H2b(F,R), which proves that this space is infinite dimensional, cf. [7]. We give a simpler proof of this fact using a different type of quasi-morphisms. After computing the Gromov norm of the corresponding bounded classes, we generalize our example to obtain quasi-morphisms on free products, as well as quasi-morphisms into groups without small subgroups, also known as ε-representations.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.title
Quasi-morphisms on Free Groups
en_US
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
0911.4234
en_US
ethz.size
13 p.
en_US
ethz.identifier.arxiv
0911.4234
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::08802 - Iozzi, Alessandra (Tit.-Prof.)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::08802 - Iozzi, Alessandra (Tit.-Prof.)
ethz.date.deposited
2017-06-09T05:22:47Z
ethz.source
ECIT
ethz.identifier.importid
imp59364cfa725e294040
ethz.ecitpid
pub:36970
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-12T10:59:57Z
ethz.rosetta.lastUpdated
2018-10-01T08:55:01Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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