论文标题

水平分解,i

Horizontal decompositions, I

论文作者

Lisca, Paolo, Parma, Andrea

论文摘要

我们表明,每个平滑,封闭,定向的4个manifold X都承认我们称为水平的特殊手柄分解。我们将封闭的4个序列分类为最简单的水平分解,并描述了CP^2的所有这些分解,表明它们会在复杂的弹丸平面中无限地引起许多已知的理性同源球的嵌入。

We show that every smooth, closed, orientable 4-manifold X admits a special kind of handlebody decomposition that we call horizontal. We classify the closed 4-manifolds with the simplest horizontal decompositions and we describe all such decompositions of CP^2, showing that they give rise to infinitely many of the known embeddings of rational homology balls in the complex projective plane.

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