Many Haken Heegaard splittings
dc.contributor.author
Sisto, Alessandro
dc.date.accessioned
2020-08-10T12:46:15Z
dc.date.available
2020-07-23T05:18:22Z
dc.date.available
2020-08-10T12:46:15Z
dc.date.issued
2020-06
dc.identifier.issn
1793-5253
dc.identifier.issn
1793-7167
dc.identifier.other
10.1142/S1793525319500535
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/428043
dc.description.abstract
We give a simple criterion for a Heegaard splitting to yield a Haken manifold. As a consequence, we construct many Haken manifolds, in particular homology spheres, with prescribed properties, namely Heegaard genus, Heegaard distance and Casson invariant. Along the way we give simpler and shorter proofs of the existence of splittings with specified Heegaard distance, originally proven by Ido-Jang-Kobayashi, of the existence of hyperbolic manifolds with prescribed Casson invariant, originally due to Lubotzky-Maher-Wu, and of a result about subsurface projections of disc sets (for which we even get better constants), originally due to Masur-Schleimer. © 2020 World Scientific Publishing Company.
en_US
dc.language.iso
en
en_US
dc.publisher
World Scientific
dc.subject
Incompressible surface
en_US
dc.subject
Heegaard splitting
en_US
dc.subject
Haken manifold
en_US
dc.subject
Casson invariant
en_US
dc.title
Many Haken Heegaard splittings
en_US
dc.type
Journal Article
dc.date.published
2018-10-05
ethz.journal.title
Journal of Topology and Analysis
ethz.journal.volume
12
en_US
ethz.journal.issue
2
en_US
ethz.journal.abbreviated
J. topol. analysis (Singap.Print)
ethz.pages.start
357
en_US
ethz.pages.end
369
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Singapore
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::09561 - Sisto, Alessandro (ehemalig) / Sisto, Alessandro (former)
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09561 - Sisto, Alessandro (ehemalig) / Sisto, Alessandro (former)
ethz.date.deposited
2020-07-23T05:18:31Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-08-10T12:46:38Z
ethz.rosetta.lastUpdated
2021-02-15T16:07:14Z
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true
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true
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Publikationstyp
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Journal Article [121920]