Infinitely many hyperbolic 3-manifolds admitting distance-d and genus-g Heegaard splittings

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• 作者：Faze Zhang ; Ruifeng Qiu ; Yanqing Zou
• 关键词：Curve complex ; Hyperbolic 3 ; manifolds ; Heegaard distance
• 刊名：Geometriae Dedicata
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：181
• 期：1
• 页码：213-222
• 全文大小：483 KB
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• 作者单位：Faze Zhang (1)
  Ruifeng Qiu (2)
  Yanqing Zou (3)
  
  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, Liaoning, People’s Republic of China
  2. Department of Mathematics, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, People’s Republic of China
  3. Department of Mathematics, Dalian Minzu University, Dalian, Liaoning Province, People’s Republic of China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1572-9168

文摘

We prove that for any two integers \(d \ge 2\) and \(g \ge 2\), there are infinitely many non-homeomorphic hyperbolic three dimensional manifolds so that each one has a distance d genus g Heegaard splitting.