单色b-充足链路的Khovanov同调有一条尾巴

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2012-03-26 DOI:10.4171/QT/58

L. Rozansky

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引用次数: 20

摘要

C. Armond, S. Garoufalidis和T.Le已经证明了b -充足链路的单色Jones多项式在大颜色时具有稳定的尾。我们通过证明单色链路的Khovanov同调也有一个稳定的尾巴来对这个尾巴进行分类，这个稳定的尾巴的梯度欧拉特征与琼斯多项式的尾巴一致。

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Khovanov homology of a unicolored b-adequate link has a tail

C. Armond, S. Garoufalidis and T.Le have shown that a unicolored Jones polynomial of a B-adequate link has a stable tail at large colors. We categorify this tail by showing that Khovanov homology of a unicolored link also has a stable tail, whose graded Euler characteristic coincides with the tail of the Jones polynomial.

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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.