链接同源理论和条带一致性

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2019-09-16 DOI:10.4171/qt/162

Sungkyung Kang

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引用次数: 9

摘要

近年来，一些作者证明了带状一致性在分枝重盖的结花同源性、Khovanov同源性和Heegaard花同源性中诱导了内射映射。我们在更一般的情况下给出了一个类似命题的简单证明，其中包括结花同调、Khovanov-Rozansky同调和所有的二次强khovanov - flower理论。这给出了一个哲学的答案，一个链接TQFT的哪些方面使它在带一致性下注入的问题。

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Link homology theories and ribbon concordances

It was recently proved by several authors that ribbon concordances induce injective maps in knot Floer homology, Khovanov homology, and the Heegaard Floer homology of the branched double cover. We give a simple proof of a similar statement in a more general setting, which includes knot Floer homology, Khovanov-Rozansky homologies, and all conic strong Khovanov-Floer theories. This gives a philosophical answer to the question of which aspects of a link TQFT make it injective under ribbon concordances.

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来源期刊

Quantum Topology Mathematics-Geometry and Topology

CiteScore

1.80

自引率

9.10%

发文量

期刊介绍： Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology Knot Theory Jones Polynomial and Khovanov Homology Topological Quantum Field Theory Quantum Groups and Hopf Algebras Mapping Class Groups and Teichmüller space Categorification Braid Groups and Braided Categories Fusion Categories Subfactors and Planar Algebras Contact and Symplectic Topology Topological Methods in Physics.