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arXiv 1209.1004math.GT
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关于可分解为正则理想十二面体的纽结补

On knot complements that decompose into regular ideal dodecahedra

Neil Hoffman

摘要:

Aitchison和Rubinstein构造了两个纽结补,它们可以分解为两个正则理想十二面体。本文证明了这些纽结补是唯一能分解成n个正则理想十二面体的纽结补,从而部分解决了Neumann和Reid的一个猜想。

英文摘要:

Aitchison and Rubinstein constructed two knot complements that can be decomposed into two regular ideal dodecahedra. This paper shows that these knot complements are the only knot complements that decompose into n regular ideal dodecahedra, providing a partial solution to a conjecture of Neumann and Reid.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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