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dc.contributor.author
Bucher, Michelle
dc.contributor.author
Burger, Marc
dc.contributor.author
Frigerio, Roberto
dc.contributor.author
Iozzi, Alessandra
dc.contributor.author
Pagliantini, Cristina
dc.contributor.author
Pozzetti, Maria B.
dc.date.accessioned
2017-06-11T01:31:52Z
dc.date.available
2017-06-11T01:31:52Z
dc.date.issued
2013
dc.identifier.uri
http://hdl.handle.net/20.500.11850/76312
dc.description.abstract
This paper is devoted to the construction of norm-preserving maps between bounded cohomology groups. For a graph of groups with amenable edge groups we construct an isometric embedding of the direct sum of the bounded cohomology of the vertex groups in the bounded cohomology of the fundamental group of the graph of groups. With a similar technique we prove that if (X,Y) is a pair of CW-complexes and the fundamental group of each connected component of Y is amenable, the isomorphism between the relative bounded cohomology of (X,Y) and the bounded cohomology of X in degree at least 2 is isometric. As an application we provide easy and self-contained proofs of Gromov Equivalence Theorem and of the additivity of the simplicial volume with respect to gluings along \pi_1-injective boundary components with amenable fundamental group.
dc.language.iso
en
dc.publisher
Cornell University
dc.title
Isometric Embeddings in Bounded Cohomology
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
arXiv:1305.2612
ethz.notes
Submitted on 12 May 2013. The text overlaps with the submission http://arxiv.org/abs/1205.1022 by the same authors. See also http://e-citations.ethbib.ethz.ch/view/pub:139342.
ethz.publication.place
Ithaca, NY
ethz.publication.status
published
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.)
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03491 - Burger, Marc / Burger, Marc
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::03491 - Burger, Marc / Burger, Marc
ethz.identifier.url
http://arxiv.org/abs/1305.2612v1
ethz.date.deposited
2017-06-11T01:31:58Z
ethz.source
ECIT
ethz.identifier.importid
imp59365153bb1fc41420
ethz.ecitpid
pub:120594
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-12T20:26:17Z
ethz.rosetta.lastUpdated
2018-11-02T11:57:53Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
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