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Strongly irreducible Heegaard splittings of hyperbolic 3-manifolds
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-06-30 , DOI: 10.1090/proc/15114 Tejas Kalelkar
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-06-30 , DOI: 10.1090/proc/15114 Tejas Kalelkar
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 
and incompressible surfaces 
such that any strongly irreducible Heegaard surface is a Haken sum 
, up to one-sided associates of the Heegaard surfaces.
中文翻译：
双曲3流形的强不可约Heegaard分裂
摘要：Colding和Gabai给出了李定理的有效形式，即非Haken双曲3流形具有有限的许多不可约Heegaard分裂。作为他们工作的推论，我们证明了Haken双曲3流形具有极强不可约Heegaard曲面和不可压缩曲面的有限集合，因此任何极不可约Heegaard曲面都是Haken和，直至Heegaard曲面的单边缔合。
更新日期：2020-08-20
and incompressible surfaces such that any strongly irreducible Heegaard surface is a Haken sum , up to one-sided associates of the Heegaard surfaces. 中文翻译：
双曲3流形的强不可约Heegaard分裂
摘要：Colding和Gabai给出了李定理的有效形式，即非Haken双曲3流形具有有限的许多不可约Heegaard分裂。作为他们工作的推论，我们证明了Haken双曲3流形具有极强不可约Heegaard曲面
和不可压缩曲面的有限集合，因此任何极不可约Heegaard曲面都是Haken和，直至Heegaard曲面的单边缔合。 
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