Sutured Heegaard diagrams for knots

被引：17

作者：

Ni, Yi ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2006年 / 6卷

关键词：

D O I：

10.2140/agt.2006.6.513

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define sutured Heegaard diagrams for null-homologous knots in 3-manifolds. These diagrams are useful for computing the knot Floer homology at the top filtration level. As an application, we give a formula for the knot Floer homology of a Murasugi sum. Our result echoes Gabai's earlier works. We also show that for so-called "semifibred" satellite knots, the top filtration term of the knot Floer homology is isomorphic to the counterpart of the companion.

引用

页码：513 / 537

页数：25

共 16 条

[1]

BURDE G, 2003, DEGRUYTER STUDIES MA, V5

[2] Longitude Floer homology and the Whitehead double [J].