On the functoriality of Khovanov-Floer theories

被引：8

作者：

Baldwin, John A. ^{[1
]}

Hedden, Matthew ^{[2
]}

Lobb, Andrew ^{[3
]}

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02167 USA

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[3] Univ Durham, Dept Math Sci, Durham, England

来源：

ADVANCES IN MATHEMATICS | 2019年 / 345卷

基金：

英国工程与自然科学研究理事会;

关键词：

Khovanov; Floer; Instanton; Spectral sequence; HOMOLOGY; TANGLE;

D O I：

10.1016/j.aim.2019.01.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of a Khovanov-Floer theory. We prove that every page (after E-1) of the spectral sequence accompanying a Khovanov-Floer theory is a link invariant, and that an oriented link cobordism induces a map on each page which is an invariant of the cobordism up to smooth isotopy rel boundary. We then prove that the spectral sequences relating Khovanov homology to Heegaard Floer homology and singular instanton knot homology are induced by Khovanov-Floer theories and are therefore functorial in the manner described above, as had been conjectured for some time. (C) 2019 Published by Elsevier Inc.

引用

页码：1162 / 1205

页数：44

共 35 条

[21] Khovanov Homology Theories and Their Applications
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[29] Bar-Natan’s deformation of Khovanov homology and involutive monopole Floer homology
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[30] Bar-Natan's deformation of Khovanov homology and involutive monopole Floer homology
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