On the slice-ribbon conjecture for Montesinos knots
On the slice-ribbon conjecture for Montesinos knots
复制标题
关于 Montesinos 结的切片丝带猜想
DOI：
10.1090/s0002-9947-2011-05385-7
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发表时间：
2009
影响因子：
1.3
通讯作者：
Ana G. Lecuona
中科院分区：
文献类型：
--
作者：
Ana G. Lecuona
本文利用关于Montesinos纽结族P的交形式的唐纳森定理，建立了关于Montesinos纽结族P的切片带猜想
定四维流形我们所考虑的4-流形是根据一个星形负权图通过对S2上的圆盘丛进行铅垂而得到的
有3条腿，使得：i）中心顶点的权重小于或等于-3;
ii）−总权重− 3 #顶点< −1。塞弗特空间，
4-维管道流形是S3的双覆盖，其分支沿着
家庭中的蒙特西诺斯结。
We establish the slice-ribbon conjecture for a family P of Montesinos knots by means of Donaldson’s theorem on the intersection forms of
definite 4-manifolds. The 4-manifolds that we consider are obtained by plumbing disc bundles over S2 according to a star-shaped negative-weighted graph
with 3 legs such that: i) the central vertex has weight less than or equal to −3;
ii) − total weight − 3 #vertices < −1. The Seifert spaces which bound these
4-dimensional plumbing manifolds are the double covers of S3 branched along
the Montesinos knots in the family P.