在二维辫子上添加带图表环的1-手柄
On addition of 1-handles with chart loops to 2-dimensional braids
摘要：
在定向表面结$F$上的二维辫状物由称为$F$的表面图上的图表的图表示。我们考虑2维辫子，通过增加1-手柄配备图表循环。我们介绍了移动的1-手柄与图表循环，称为1-手柄移动，我们研究了我们可以简化多少二维辫子使用1-手柄移动。此外，我们表明，除了1-处理图表循环是一个unbraiding操作。
英文摘要：
A 2-dimensional braid over an oriented surface-knot $F$ is presented by a graph called a chart on a surface diagram of $F$. We consider 2-dimensional braids obtained by an addition of 1-handles equipped with chart loops. We introduce moves of 1-handles with chart loops, called 1-handle moves, and we investigate how much we can simplify a 2-dimensional braid by using 1-handle moves. Further, we show that an addition of 1-handles with chart loops is an unbraiding operation.
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