A multiple group rack and oriented spatial surfaces

Atsushi Ishii; Shosaku Matsuzaki; Tomo Murao

doi:10.1142/S0218216520500467

A multiple group rack and oriented spatial surfaces

Atsushi Ishii, Shosaku Matsuzaki^*, Tomo Murao

^*Corresponding author for this work

Global Education Center

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

2 Citations (Scopus)

Abstract

A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several typical examples of spatial surfaces and construct a coloring invariant to distinguish them. The coloring is defined by using a multiple group rack, which is a rack version of a multiple conjugation quandle.

Original language	English
Article number	2050046
Journal	Journal of Knot Theory and its Ramifications
Volume	29
Issue number	7
DOIs	https://doi.org/10.1142/S0218216520500467
Publication status	Published - 2020 Jun 1

Keywords

multiple group rack
Oriented spatial surface
rack coloring
Seifert surface

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S0218216520500467

Cite this

@article{a49bf8d7aed543459a09acc8899302c1,

title = "A multiple group rack and oriented spatial surfaces",

abstract = "A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several typical examples of spatial surfaces and construct a coloring invariant to distinguish them. The coloring is defined by using a multiple group rack, which is a rack version of a multiple conjugation quandle.",

keywords = "multiple group rack, Oriented spatial surface, rack coloring, Seifert surface",

author = "Atsushi Ishii and Shosaku Matsuzaki and Tomo Murao",

note = "Funding Information: The first author was supported by JSPS KAKENHI Grant Number 18K03292. The third author was supported by JSPS KAKENHI Grant Number 18J10105. Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = jun,

day = "1",

doi = "10.1142/S0218216520500467",

language = "English",

volume = "29",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "7",

}

TY - JOUR

T1 - A multiple group rack and oriented spatial surfaces

AU - Ishii, Atsushi

AU - Matsuzaki, Shosaku

AU - Murao, Tomo

N1 - Funding Information: The first author was supported by JSPS KAKENHI Grant Number 18K03292. The third author was supported by JSPS KAKENHI Grant Number 18J10105. Publisher Copyright: © 2020 World Scientific Publishing Company.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several typical examples of spatial surfaces and construct a coloring invariant to distinguish them. The coloring is defined by using a multiple group rack, which is a rack version of a multiple conjugation quandle.

AB - A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several typical examples of spatial surfaces and construct a coloring invariant to distinguish them. The coloring is defined by using a multiple group rack, which is a rack version of a multiple conjugation quandle.

KW - multiple group rack

KW - Oriented spatial surface

KW - rack coloring

KW - Seifert surface

UR - http://www.scopus.com/inward/record.url?scp=85090865751&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85090865751&partnerID=8YFLogxK

U2 - 10.1142/S0218216520500467

DO - 10.1142/S0218216520500467

M3 - Article

AN - SCOPUS:85090865751

SN - 0218-2165

VL - 29

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 7

M1 - 2050046

ER -

A multiple group rack and oriented spatial surfaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this