论文标题
皇冠图的显着横梁
The salient crossings of a crown diagram
论文作者
论文摘要
可以将平滑，封闭的4个manifold的冠状图视为封闭表面和圆圈乘积中链路的投影，并在圆方向上连接每个交叉的链的圆方向。本文使用整数直接分配到这些和弦中，以表明拓扑4型基础上的平滑结构是一对fintushel-sern-senter Shot Surgery 4 manifolds，已知具有相同的Seiberg-witter不变的不变是同位素。一个自然的问题是确定是否可以加强论证来表明这些流形并非差异。
A crown diagram of a smooth, closed oriented 4-manifold can be thought of as the projection of a link in the product of a closed surface and the circle, with chords in the circle direction connecting the strands of each crossing. This paper uses a straightforward assignment of integers to these chords to show that the smooth structures on the topological 4-manifold underlying a pair of Fintushel-Stern knot surgery 4-manifolds which are known to have the same Seiberg-Witten invariant are not isotopic. A natural question is to determine if the argument may be strengthened to show these manifolds are not diffeomorphic.
