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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.