A multiple group rack and oriented spatial surfaces

Atsushi Ishii, Shosaku Matsuzaki, Tomo Murao

Research output: Contribution to journalArticlepeer-review


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.

MSC Codes 57M20 (Primary) 57M25, 57M27 (Secondary)

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2019 Dec 6


  • Multiple group rack
  • Oriented spatial surface
  • Rack coloring
  • Seifert surface

ASJC Scopus subject areas

  • General

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