Strongly irreducible Heegaard splittings of hyperbolic 3-manifolds

dc.contributor.author	KALELKAR, TEJAS	en_US
dc.date.accessioned	2020-09-16T03:45:56Z
dc.date.available	2020-09-16T03:45:56Z
dc.date.issued	2020-10	en_US
dc.identifier.citation	Proceedings of the American Mathematical Society, 148(10), 4527-4529.	en_US
dc.identifier.issn	1088-6826	en_US
dc.identifier.issn	0002-9939	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5038
dc.identifier.uri	https://doi.org/10.1090/proc/15114	en_US
dc.description.abstract	Colding 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.language.iso	en	en_US
dc.publisher	American Mathematical Society	en_US
dc.subject	Mathematics	en_US
dc.subject	2020	en_US
dc.subject	2020-SEP-WEEK2	en_US
dc.subject	TOC-SEP-2020	en_US
dc.title	Strongly irreducible Heegaard splittings of hyperbolic 3-manifolds	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Proceedings of the American Mathematical Society	en_US
dc.publication.originofpublisher	Foreign	en_US