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arXiv 1504.07567math.GT
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关于环面丛的覆盖的亏格

On genera of coverings of torus bundles

Núñez Victor, Ramirez-Losada Enrique, Remigio-Juárez Jair

摘要:

在表明覆盖空间的表面丛$S^1$的因素,作为一个“覆盖的纤维”,其次是一个“权力覆盖”,我们证明了,环面丛,权力覆盖不降低Heegaard属,和纤维覆盖降低属只有在特殊情况下。

英文摘要:

After showing that a covering space of surface bundles over $S^1$ factors as a `covering of fibers' followed by a `power covering', we prove that, for torus bundles, power coverings do not lower Heegaard genus, and that fiber coverings lower the genus only in special cases.

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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