English

A multiple group rack and oriented spatial surfaces

Geometric Topology 2023-10-24 v2

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

Cite

@article{arxiv.1912.03069,
  title  = {A multiple group rack and oriented spatial surfaces},
  author = {Atsushi Ishii and Shosaku Matsuzaki and Tomo Murao},
  journal= {arXiv preprint arXiv:1912.03069},
  year   = {2023}
}

Comments

17 pages, 19 figures

R2 v1 2026-06-23T12:37:55.331Z