四维空间中奇异链配边的电影移动
Movie moves for singular link cobordisms in 4-dimensional space
摘要：
两个奇异链环是共边的，如果一个可以从另一个得到的奇异链环合痕连同简单unknotted曲线的出生或死亡的组合，和鞍点变换。四维空间中的奇异链环配边的电影描述是通过取垂直于固定方向的二维截面将配边投影到三维空间中获得的奇异链环图序列。我们提出了一套电影的举动，足以连接任何两个电影的同位素奇异链接配边。
英文摘要：
Two singular links are cobordant if one can be obtained from the other by singular link isotopy together with a combination of births or deaths of simple unknotted curves, and saddle point transformations. A movie description of a singular link cobordism in 4-space is a sequence of singular link diagrams obtained from a projection of the cobordism into 3-space by taking 2-dimensional cross sections perpendicular to a fixed direction. We present a set of movie moves that are sufficient to connect any two movies of isotopic singular link cobordisms.
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