Pseudo-cycles of surface-knots

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Abstract

In this paper, we describe a two-dimensional rectangular-cell-complex derived from a surface-knot diagram of a surface-knot. We define a pseudo-cycle for a quandle colored surface-knot diagram. We show that the maximal number of pseudo-cycles is a surface-knot invariant.

Original languageEnglish
Article number1650068
JournalJournal of Knot Theory and its Ramifications
Volume25
Issue number13
DOIs
Publication statusPublished - Nov 1 2016

Keywords

  • diagrams
  • invariant
  • pseudo-cycle
  • Surface-knot

ASJC Scopus subject areas

  • Algebra and Number Theory

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