AN INFINITE-RANK SUMMAND OF THE HOMOLOGY COBORDISM GROUP

被引：4

作者：

Dai, Irving ^{[1
]}

Hom, Jennifer ^{[2
]}

Stoffregen, Matthew ^{[3
]}

Truong, Linh ^{[4
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] Georgia Inst Technol, Sch Math, Atlanta, GA USA

[3] Michigan State Univ, Dept Math, E Lansing, MI USA

[4] Univ Michigan, Dept Math, Ann Arbor, MI USA

来源：

DUKE MATHEMATICAL JOURNAL | 2023年 / 172卷 / 12期

基金：

美国国家科学基金会;

关键词：

HEEGAARD FLOER HOMOLOGY; EMBEDDED CONTACT HOMOLOGY; EQUIVALENCE; SUMS;

D O I：

10.1215/00127094-2022-0082

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the three-dimensional homology cobordism group admits an infinite -rank summand. It was previously known that the homology cobordism group contains a Z(infinity)-subgroup and a Z-summand. Our proof proceeds by introducing an algebraic variant of the involutive Heegaard Floer package of Hendricks, Manolescu, and Zemke. This is inspired by an analogous argument in the setting of knot concordance due to the second author.

引用

页码：2365 / 2432

页数：68

共 30 条

[1] Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions [J].