Rasmussen's spectral sequences and the slN-concordance invariants

被引：20

作者：

Lewark, Lukas ^{[1
]}

机构：

[1] Univ Durham, Durham DH1 3LE, England

来源：

ADVANCES IN MATHEMATICS | 2014年 / 260卷

基金：

英国工程与自然科学研究理事会;

关键词：

Knot concordance; Khovanov-Rozansky homologies; Slice genus; Rasmussen invariant; Spectral sequences; Pretzel knots; SLICE-BENNEQUIN INEQUALITY; HEEGAARD FLOER HOMOLOGY; OZSVATH-SZABO; CONCORDANCE INVARIANTS; MATRIX FACTORIZATIONS; KNOTS;

D O I：

10.1016/j.aim.2014.04.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Combining known spectral sequences with a new spectral sequence relating reduced and unreduced sl(N)-homology yields a relationship between the HOMFLYPT-homology of a knot and its sl(N)-concordance invariants. As an application, some of the sl(N)-concordance invariants are shown to be linearly independent. (C) 2014 The Author. Published by Elsevier Inc.

引用

页码：59 / 83

页数：25

共 54 条

[1] THE RASMUSSEN INVARIANT OF A HOMOGENEOUS KNOT [J].