A multiple group rack and oriented spatial surfaces-Reference-Cited by-同舟云学术

A multiple group rack and oriented spatial surfaces

Published:2020-06 Issue:07 Volume:29 Page:2050046
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Ishii Atsushi¹,Matsuzaki Shosaku²,Murao Tomo³

Affiliation:

1. Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan

2. Liberal Arts Education Center, Ashikaga University, 286-1 Omae-cho, Ashikaga-shi, Tochigi 326-8558, Japan

3. Global Education Center, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku, Tokyo 169-8050, Japan

Abstract

A spatial surface is a compact surface embedded in the [Formula: see text]-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.

Funder

Japan Society for the Promotion of Science

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216520500467

Reference9 articles.

1. Complements of Minimal Spanning Surfaces of Knots are Not Unique

2. RACKS AND LINKS IN CODIMENSION TWO

3. Moves and invariants for knotted handlebodies

4. A multiple conjugation quandle and handlebody-knots

5. The Markov theorems for spatial graphs and handlebody-knots with Y-orientations

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