论文标题

整个圆环中的小组成绩不变

A group-valued invariant of knots in the full torus

论文作者

Manturov, Vassily Olegovich, Nikonov, Igor Mikhailovich

论文摘要

结在低维拓扑中起着至关重要的作用。我们提出了一种非常基本的技术,该技术使人们可以为整个圆环中的结构构成许多切片障碍。我们的方法涉及小组理论技术;它是完全组合的,小组非常容易处理。

Knot concordance plays a crucial role in the low dimensional topology. We propose a very elementary techniques which allows one to construct a lot of sliceness obstructions for knots in the full torus. Our approach deals with group theoretical techniques; it is completely combinatorial, and the groups are very easy to deal with.

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