Pseudo-cycles of surface-knots

Tsukasa Yashiro

doi:10.1142/S0218216516500681

Pseudo-cycles of surface-knots

Tsukasa Yashiro^*

^*Corresponding author for this work

Mathematics & Statistics

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

1 Citation (Scopus)

Abstract

In this paper, we describe a two-dimensional rectangular-cell-complex derived from a surface-knot diagram of a surface-knot. We define a pseudo-cycle for a quandle colored surface-knot diagram. We show that the maximal number of pseudo-cycles is a surface-knot invariant.

Original language	English
Article number	1650068
Journal	Journal of Knot Theory and its Ramifications
Volume	25
Issue number	13
DOIs	https://doi.org/10.1142/S0218216516500681
Publication status	Published - Nov 1 2016

Keywords

diagrams
invariant
pseudo-cycle
Surface-knot

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216516500681

Cite this

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abstract = "In this paper, we describe a two-dimensional rectangular-cell-complex derived from a surface-knot diagram of a surface-knot. We define a pseudo-cycle for a quandle colored surface-knot diagram. We show that the maximal number of pseudo-cycles is a surface-knot invariant.",

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Pseudo-cycles of surface-knots

Abstract

Keywords

ASJC Scopus subject areas

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