Polynomial invariants of a link with local symmetry

Yongju Bae

doi:10.1016/j.topol.2015.12.046

Polynomial invariants of a link with local symmetry

Yongju Bae

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let D be a link diagram and T a 4-tangle. By replacing each crossing of D by T, we get a new diagram D⊗. T, called a link diagram with local symmetry or tensor product of D and T. In this paper, we will study polynomial invariants of the link diagram D⊗. T with local symmetry in terms of D and T, and as an application, we will study the adequacy of D⊗. T.

Original language	English
Pages (from-to)	350-357
Number of pages	8
Journal	Topology and its Applications
Volume	201
DOIs	https://doi.org/10.1016/j.topol.2015.12.046
State	Published - 15 Mar 2016

Keywords

Adequate knot
Kauffman bracket polynomial
Local symmetry

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10.1016/j.topol.2015.12.046

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title = "Polynomial invariants of a link with local symmetry",

abstract = "Let D be a link diagram and T a 4-tangle. By replacing each crossing of D by T, we get a new diagram D⊗. T, called a link diagram with local symmetry or tensor product of D and T. In this paper, we will study polynomial invariants of the link diagram D⊗. T with local symmetry in terms of D and T, and as an application, we will study the adequacy of D⊗. T.",

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PY - 2016/3/15

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N2 - Let D be a link diagram and T a 4-tangle. By replacing each crossing of D by T, we get a new diagram D⊗. T, called a link diagram with local symmetry or tensor product of D and T. In this paper, we will study polynomial invariants of the link diagram D⊗. T with local symmetry in terms of D and T, and as an application, we will study the adequacy of D⊗. T.

AB - Let D be a link diagram and T a 4-tangle. By replacing each crossing of D by T, we get a new diagram D⊗. T, called a link diagram with local symmetry or tensor product of D and T. In this paper, we will study polynomial invariants of the link diagram D⊗. T with local symmetry in terms of D and T, and as an application, we will study the adequacy of D⊗. T.

KW - Adequate knot

KW - Kauffman bracket polynomial

KW - Local symmetry

UR - https://www.scopus.com/pages/publications/84960813644

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DO - 10.1016/j.topol.2015.12.046

M3 - Article

AN - SCOPUS:84960813644

SN - 0166-8641

VL - 201

SP - 350

EP - 357

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Polynomial invariants of a link with local symmetry

Abstract

Keywords

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