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arXiv 0707.4522math.GTmath.GR
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虚拟存储的标准

Criteria for virtual fibering

Ian Agol

摘要:

我们证明了一个不可约的3-流形,其基本群满足一个称为RFRS的群论性质,它是虚纤维的。作为推论,我们证明了由一个二次型虚纤维定义的三维反射轨道和算术双曲轨道。其中包括塞弗特·韦伯十二面体空间和比安基轨道。此外,我们表明,一个拉紧缝合的压缩体有一个有限的覆盖层的深度为一个拉紧定向叶理。

英文摘要:

We prove that an irreducible 3-manifold whose fundamental group satisfies a certain group-theoretic property called RFRS is virtually fibered. As a corollary, we show that 3-dimensional reflection orbifolds and arithmetic hyperbolic orbifolds defined by a quadratic form virtually fiber. These include the Seifert Weber dodecahedral space and the Bianchi orbifolds. Moreover, we show that a taut sutured compression body has a finite-sheeted cover with a depth one taut-oriented foliation.

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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