弧距等于层号
Arc distance equals level number
摘要：
在一个3-流形中，一个相对于亏格g Heegaard曲面处于1-桥位置的纽结K可以通过合痕移动通过处于1-桥位置的纽结，直到它位于由n-1个直管连接在一起的n个平行亏格g曲面的并集中，K与每个直管相交于连接两端的两个弧中。我们证明，这是可能的最小n等于一个Hempel型距离不变定义使用弧复杂的两个洞genus-g表面
英文摘要：
A knot K in 1-bridge position with respect to a genus-g Heegaard surface in a 3-manifold can be moved by isotopy through knots in 1-bridge position until it lies in a union of n parallel genus-g surfaces tubed together by n-1 straight tubes, with K intersecting each tube in two arcs connecting the ends. We prove that the minimum n for which this is possible is equal to a Hempel-type distance invariant defined using an arc complex of the two holed genus-g surface
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
