A geometrically bounding hyperbolic link complement

A geometrically bounding hyperbolic link complement
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DOI:
10.2140/agt.2015.15.1175
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发表时间:
2014-02
期刊:
arXiv: Geometric Topology
影响因子:
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通讯作者:
Leone Slavich
Leone Slavich
中科院分区:
其他
文献类型:
--
作者:
Leone Slavich

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有限体积双曲3-流形几何有界,如果它是有限体积双曲4-流形的测地线边界。我们在这里构造了一个例子,非紧的,有限体积的双曲3-流形的几何边界。三歧管是具有八个部件的连杆的补充,其体积大致等于29.311。
A finite-volume hyperbolic 3-manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4-manifold. We construct here an example of non-compact, finite-volume hyperbolic 3-manifold that geometrically bounds. The 3-manifold is the complement of a link with eight components, and its volume is roughly equal to 29.311.