solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看8846次
Intersectional pairs of $n$-knots, local moves of $n$-knots, and their associated invariants of $n$-knots. (arXiv:1803.03496v1 [math.GT])
来源于:arXiv
Let n be an integer$>$. Let S^{n+2}_1 (respectively, S^{n+2}_2) be the
(n+2)-sphere embedded in the (n+4)-sphere S^{n+4}. Let S^{n+2}_1 and S^{n+2}_2
intersect transversely. Suppose that the smooth submanifold, the intersection
of S^{n+2}_1 and S^{n+2}_2 in S^{n+2}_i is PL homeomophic to the n-sphere. Then
S^{n+2}_1 and S^{n+2}_2 in S^{n+2}_i is an n-knot K_i. We say that the pair
(K_1,K_2) of n-knots is realizable.
We consider the following problem in this paper. Let A_1 and A_2 be n-knots.
Is the pair (A_1,A_2) of n-knots realizable?
We give a complete characterization. 查看全文>>