Strongly irreducible Heegaard splittings of hyperbolic 3-manifolds

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dc.contributor.authorKALELKAR, TEJASen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2020-09-16T03:45:56Z
dc.date.available2020-09-16T03:45:56Z
dc.date.issued2020-10en_US
dc.description.abstractColding and Gabai have given an effective version of Li's theorem that non-Haken hyperbolic 3-manifolds have finitely many irreducible Heegaard splittings. As a corollary of their work, we show that Haken hyperbolic 3-manifolds have a finite collection of strongly irreducible Heegaard surfaces $ S_i$ and incompressible surfaces $ K_j$ such that any strongly irreducible Heegaard surface is a Haken sum $ S_i + \sum _j n_j K_j$, up to one-sided associates of the Heegaard surfaces.en_US
dc.identifier.citationProceedings of the American Mathematical Society, 148(10), 4527-4529.en_US
dc.identifier.issn1088-6826en_US
dc.identifier.issn0002-9939en_US
dc.identifier.sourcetitleProceedings of the American Mathematical Societyen_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5038
dc.identifier.urihttps://doi.org/10.1090/proc/15114
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherAmerican Mathematical Societyen_US
dc.subjectMathematicsen_US
dc.subject2020en_US
dc.subject2020-SEP-WEEK2en_US
dc.subjectTOC-SEP-2020en_US
dc.titleStrongly irreducible Heegaard splittings of hyperbolic 3-manifoldsen_US
dc.typeArticleen_US

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