论文标题
4个manifolds的多个
Multisections of 4-manifolds
论文作者
论文摘要
我们介绍了光滑，封闭的4个manifolds的多片，它们将三个以上零件的分解概括为分解。该分解描述了一个任意平滑，封闭的4个manifold作为表面上切割系统的序列。我们展示了如何根据这些切割系统进行许多平滑的切割和粘贴操作。特别是，我们展示了如何实现软木扭曲，从而表明，任意外来的一对光滑的4个manifolds允许仅通过一个切割系统而有所不同。通过执行光纤总和和日志变换，我们还表明椭圆纤维$ e（n）_ {p，q} $ asment off en off en genus 3个多镜，并为这些歧管绘制显式图。
We introduce multisections of smooth, closed 4-manifolds, which generalize trisections to decompositions with more than three pieces. This decomposition describes an arbitrary smooth, closed 4-manifold as a sequence of cut systems on a surface. We show how to carry out many smooth cut and paste operations in terms of these cut systems. In particular, we show how to implement a cork twist, whereby we show that an arbitrary exotic pair of smooth 4-manifolds admit 4-sections differing only by one cut system. By carrying out fiber sums and log transforms, we also show that the elliptic fibrations $E(n)_{p,q}$ all admit genus 3 multisections, and draw explicit diagrams for these manifolds.
