Rational Whitney tower filtration of links

被引：3
|
作者：
Cha, Jae Choon [1 ,2 ]
机构：
[1] POSTECH, Dept Math, Pohang 37673, Gyeongbuk, South Korea
[2] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea
来源：
MATHEMATISCHE ANNALEN | 2018年 / 370卷 / 3-4期
关键词：
LOW-DIMENSIONAL TOPOLOGY; GROPE COBORDISM; CONCORDANCE; INVARIANTS; HOMOLOGY; KNOTS;
D O I：
10.1007/s00208-017-1534-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present complete classifications of links in the 3-sphere modulo framed and twisted Whitney towers in a rational homology 4-ball. This provides a geometric characterization of the vanishing of the Milnor invariants of links in terms of Whitney towers. Our result also says that the higher order Arf invariants, which are conjectured to be nontrivial, measure the potential difference between the Whitney tower theory in rational homology 4-balls and that in the 4-ball extensively developed by Conant, Schneiderman and Teichner.
引用
收藏
页码：963 / 992
页数：30
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