关于环面丛的覆盖的亏格
On genera of coverings of torus bundles
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.
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