Corks with Large Shadow-Complexity and Exotic Four-Manifolds

被引：1

作者：

Naoe, Hironobu ^{[1
]}

机构：

[1] Tohoku Univ, Sendai, Miyagi 9808578, Japan

来源：

EXPERIMENTAL MATHEMATICS | 2021年 / 30卷 / 02期

关键词：

4-manifolds; corks; exotic pairs; shadow-complexity; Primary; Secondary; DECOMPOSITION;

D O I：

10.1080/10586458.2018.1514332

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an infinite family {C-n,C-k}(k=1)(infinity) of corks of Mazur type satisfying 2n <= sc(sp)(C-n,C-k) <= O(n(3/2)) for any positive integer n. Using these corks, we construct an infinite family {(W-n,W-k, W-n,W-k' )}(k=1)(infinity) of exotic pairs of 4-manifolds with boundary whose special shadow-complexities satisfy the above inequalities. We also discuss exotic pairs with small shadow-complexity.

引用

页码：157 / 171

页数：15

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