A multiple group rack and oriented spatial surfaces

Atsushi Ishii, Shosaku Matsuzaki*, Tomo Murao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 languageEnglish
Article number2050046
JournalJournal of Knot Theory and its Ramifications
Issue number7
Publication statusPublished - 2020 Jun 1


  • multiple group rack
  • Oriented spatial surface
  • rack coloring
  • Seifert surface

ASJC Scopus subject areas

  • Algebra and Number Theory


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