低斜率Lefschetz纤颤

arXiv: Geometric Topology Pub Date : 2020-12-14 DOI:10.1142/S1793525321500394

Adalet Cengel, Mustafa Korkmaz

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引用次数: 1

摘要

对于$g\geq 3$，我们在斜率任意接近$2$的两球上构造了属- $g$ Lefschetz纤振。Lefschetz振动的总空间可以选择最小和单连通。并证明了所有Lefschetz振动的极值和极值都不能作为斜率来实现。

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Low-Slope Lefschetz Fibrations

For $g\geq 3$, we construct genus-$g$ Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to $2$. The total spaces of the Lefschetz fibrations can be chosen to be minimal and simply connected. It is also shown that the infimum and the supremum of slopes all Lefschetz fibrations are not realized as slopes.

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arXiv: Geometric Topology

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