Four-ball genus bounds and a refinement of the Ozsvath-Szabo tau invariant

被引：50

作者：

Hom, Jennifer ^{[1
]}

Wu, Zhongtao ^{[2
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

JOURNAL OF SYMPLECTIC GEOMETRY | 2016年 / 14卷 / 01期

基金：

美国国家科学基金会;

关键词：

HEEGAARD FLOER HOMOLOGY; HOLOMORPHIC DISKS; KNOTS; SURGERIES;

D O I：

10.4310/JSG.2016.v14.n1.a12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on work of Rasmussen [Ras03], we construct a concordance invariant associated to the knot Floer complex, and exhibit examples in which this invariant gives arbitrarily better bounds on the 4-ball genus than the Ozsvath-Szabo tau invariant.

引用

页码：305 / 323

页数：19

共 12 条

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