Homology cobordism and Seifert fibered 3-manifolds

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dc.citation.firstpage4015en_US
dc.citation.journalTitleProceedings of the American Mathematical Societyen_US
dc.citation.lastpage4024en_US
dc.citation.volumeNumber142en_US
dc.contributor.authorCochran, Tim D.en_US
dc.contributor.authorTanner, Danielen_US
dc.date.accessioned2017-06-12T21:49:43Zen_US
dc.date.available2017-06-12T21:49:43Zen_US
dc.date.issued2014en_US
dc.description.abstractIt is known that every closed oriented 3-manifold is homology cobordant to a hyperbolic 3-manifold. By contrast we show that many homology cobordism classes contain no Seifert fibered 3-manifold. This is accomplished by determining the isomorphism type of the rational cohomology ring of all Seifert fibered 3-manifolds with no 2-torsion in their first homology. Then we exhibit families of examples of 3-manifolds (obtained by surgery on links), with fixed linking form and cohomology ring, that are not homology cobordant to any Seifert fibered space (as shown by their rational cohomology rings). These examples are shown to represent distinct homology cobordism classes using higher Massey products and Milnor's ยต-invariants for links.en_US
dc.identifier.citationCochran, Tim D. and Tanner, Daniel. "Homology cobordism and Seifert fibered 3-manifolds." <i>Proceedings of the American Mathematical Society,</i> 142, (2014) American Mathematical Society: 4015-4024. https://doi.org/10.1090/S0002-9939-2014-12122-8๏พ .en_US
dc.identifier.doihttps://doi.org/10.1090/S0002-9939-2014-12122-8๏พ en_US
dc.identifier.urihttps://hdl.handle.net/1911/94828en_US
dc.language.isoengen_US
dc.publisherAmerican Mathematical Societyen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleHomology cobordism and Seifert fibered 3-manifoldsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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