Canonical triangulations of Dehn fillings
Canonical triangulations of Dehn fillings
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Dehn 填充物的规范三角剖分
DOI：
10.2140/gt.2010.14.193
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发表时间：
2008
影响因子：
2
通讯作者：
S. Schleimer
中科院分区：
文献类型：
--
作者：
Franccois Gu'eritaud;S. Schleimer
每一个有顶的有限体积双曲三流形都有一个正则分解为理想多面体。我们研究了用固体环面填充一些（但不是全部）顶点得到的双曲流形的正则分解：在广泛的情况下，在适当意义上的一般，这种分解可以从未填充流形的分解中预测出来（Akiyoshi[4]独立宣布了类似的结果）。我们还发现了所有双曲Dehn填充在Whitehead环补的一个顶点上的正则分解。51用水;57 m50
Every cusped, finite-volume hyperbolic three-manifold has a canonical decomposition into ideal polyhedra. We study the canonical decomposition of the hyperbolic manifold obtained by filling some (but not all) of the cusps with solid tori: in a broad range of cases, generic in an appropriate sense, this decomposition can be predicted from that of the unfilled manifold (a similar result has been independently announced by Akiyoshi [4]). We also find the canonical decompositions of all hyperbolic Dehn fillings on one cusp of the Whitehead link complement. 51H20; 57M50