Examples of bireducible Dehn fillings

Examples of bireducible Dehn fillings
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可还原 Dehn 填充物的示例

DOI:
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发表时间:
2003
期刊:
影响因子:
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通讯作者:
D. Matignon
D. Matignon
中科院分区:
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作者:
James A. Hoffman;D. Matignon

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如果一个不可约流形M允许沿不同斜率的两个Dehn填充,每个填充导致一个可约流形,那么我们称这些为双可约Dehn填充。双约Dehn填充的第一个例子是由Gordon和Litherland提出的。最近,Eudave-Munoz和Wu提出了第一个允许双约Dehn填充的无限流形族。我们给出了另一个允许双约Dehn填充的无限族双曲流形。通过填充得到的流形总是两个透镜空间的连接和。
If an irreducible manifold M admits two Dehn fillings along distinct slopes each filling resulting in a reducible manifold, then we call these bireducible Dehn fillings. The first example of bireducible Dehn fillings is due to Gordon and Litherland. More recently, Eudave-Munoz and Wu presented the first infinite family of manifolds which admit bireducible Dehn fillings. We present another infinite family of hyperbolic manifolds which admit bireducible Dehn fillings. The manifolds obtained by the fillings are always the connect sum of two lens spaces.
DOI: 10.2140/agt.2014.14.3141
发表时间: 2009-11
影响因子: 0.7
作者:
.Ilker S. Yuce-Ilker-S.-Yuce-102800584
通讯作者: .Ilker S. Yuce-Ilker-S.-Yuce-102800584