On crossing changes for surface-knots

Amal Al Kharusi; Tsukasa Yashiro

doi:10.5666/KMJ.2016.56.4.1247

On crossing changes for surface-knots

Amal Al Kharusi^*, Tsukasa Yashiro

^*Corresponding author for this work

Mathematics

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

Abstract

In this paper, we discuss the crossing change operation along exchangeable double curves of a surface-knot diagram. We show that under certain condition, a finite sequence of Roseman moves preserves the property of those exchangeable double curves. As an application for this result, we also define a numerical invariant for a set of surface-knots called du-exchangeable set.

Original language	English
Pages (from-to)	1247-1257
Number of pages	11
Journal	Kyungpook Mathematical Journal
Volume	56
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2016.56.4.1247
Publication status	Published - 2016

Keywords

Crossing changes
Invariant
Roseman moves
Surface-knot

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.5666/KMJ.2016.56.4.1247

Cite this

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abstract = "In this paper, we discuss the crossing change operation along exchangeable double curves of a surface-knot diagram. We show that under certain condition, a finite sequence of Roseman moves preserves the property of those exchangeable double curves. As an application for this result, we also define a numerical invariant for a set of surface-knots called du-exchangeable set.",

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author = "{Al Kharusi}, Amal and Tsukasa Yashiro",

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AB - In this paper, we discuss the crossing change operation along exchangeable double curves of a surface-knot diagram. We show that under certain condition, a finite sequence of Roseman moves preserves the property of those exchangeable double curves. As an application for this result, we also define a numerical invariant for a set of surface-knots called du-exchangeable set.

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KW - Surface-knot

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On crossing changes for surface-knots

Abstract

Keywords

ASJC Scopus subject areas

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