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dc.contributor.author
Ben Simon, Gabi
dc.contributor.author
Hartnick, Tobias
dc.date.accessioned
2020-09-28T12:30:01Z
dc.date.available
2017-06-09T08:24:50Z
dc.date.available
2020-09-28T10:18:52Z
dc.date.available
2020-09-28T12:30:01Z
dc.date.issued
2008-11-17
dc.identifier.uri
http://hdl.handle.net/20.500.11850/27348
dc.description.abstract
We show that every continuous homogeneous quasimorphism on a finite-dimensional 1-connected simple Lie group arises as the relative growth of any continuous bi-invariant partial order on that group. More generally we show, that an arbitrary homogeneous quasimorphism can be reconstructed as the relative growth of a partial order subject to a certain sandwich condition. This provides a link between invariant orders and bounded cohomology and allows the concrete computation of relative growth for finite dimensional simple Lie groups as well as certain infinite-dimensional Lie groups arising from symplectic geometry.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.title
Reconstructing Quasimorphisms from Associated Partial Orders and a Question of Polterovich
en_US
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
0811.2608
en_US
ethz.size
18 p.
en_US
ethz.identifier.arxiv
0811.2608
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::03513 - Salamon, Dietmar (emeritus)
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.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03513 - Salamon, Dietmar (emeritus)
ethz.relation.isPreviousVersionOf
20.500.11850/56164
ethz.date.deposited
2017-06-09T08:24:52Z
ethz.source
ECIT
ethz.identifier.importid
imp59364d782c12034739
ethz.ecitpid
pub:46165
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-12T10:41:11Z
ethz.rosetta.lastUpdated
2021-02-15T17:38:18Z
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true
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