3-manifolds that bound no definite 4-manifold

被引：0

作者：

Golla, Marco ^{[1
,2
]}

Larson, Kyle ^{[3
]}

机构：

[1] CNRS, Lab Math Jean Leray, F-44322 Nantes, France

[2] Nantes Univ, F-44322 Nantes, France

[3] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2023年 / 30卷 / 04期

关键词：

HOMOLOGY COBORDISMS; FLOER; CONCORDANCES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We produce a rational homology 3-sphere that does not smoothly bound either a positive or negative definite 4-manifold. Such a 3manifold necessarily cannot be rational homology cobordant to a Seifert fibered space or any 3-manifold obtained by Dehn surgery on a knot. The proof requires an analysis of short characteristic covectors in bimodular lattices.

引用

页码：1063 / 1080

页数：18

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