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dc.contributor.author
Bucher, Michelle
dc.contributor.author
Burger, Marc
dc.contributor.author
Iozzi, Alessandra
dc.date.accessioned
2019-12-05T13:39:44Z
dc.date.available
2017-06-19T15:52:38Z
dc.date.available
2019-12-05T13:39:44Z
dc.date.issued
2014
dc.identifier.uri
http://hdl.handle.net/20.500.11850/164194
dc.description.abstract
Let M be an oriented complete hyperbolic n-manifold of finite volume. Using the definition of volume of a representation previously given by the authors in [BucherBurgerIozzi2013] we show that the volume of a representation into the connected component of the isometry group of hyperbolic n-space, properly normalized, takes integer values if n=2m is at least 4. Moreover we prove that the volume is continuous in all dimension and hence, if the dimension of M is even and at least 4, it is constant on connected components of the representation variety.<br/> If M is not compact and 3-dimensional, the volume is not locally constant and we give explicit examples of representations with volume as arbitrary as the volume of hyperbolic manifolds obtained from M via Dehn fillings.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.title
Integrality of volumes of representations
en_US
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
1407.0562
en_US
ethz.size
24 p.
en_US
ethz.identifier.arxiv
1407.0562
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.relation.isPreviousVersionOf
handle/20.500.11850/393078
ethz.date.deposited
2017-06-19T15:54:31Z
ethz.source
ECIT
ethz.identifier.importid
imp593652bbcc7e587531
ethz.ecitpid
pub:149461
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-31T17:15:55Z
ethz.rosetta.lastUpdated
2019-12-05T13:39:54Z
ethz.rosetta.exportRequired
false
ethz.rosetta.versionExported
true
ethz.COinS
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