Branched covering surface-knots with degree three have the simplifying numbers less than three

• Nakamura Inasa

• 中村 伊南沙

Abstract

金沢大学理工研究域電子情報通信学系 / Institute of Science and Engineering, Faculty of Electrical, Information and Communication Engineering

A branched covering surface-knot is a surface-knot in the form of a branched covering over a surface-knot. For a branched covering surface-knot, we have a numerical invariant called the simplifying number. We show that branched covering surface-knots with degree three have the simplifying numbers less than three. © 2019 Elsevier B.V.

Embargo Period 24 months

Japan Society for the Promotion of Science 15K17532 / The author was partially supported by JSPS KAKENHI Grant Number 15K17532.

Journal

• Topology and its Applications

  Topology and its Applications 259 26-45, 2019-04-01

  Elsevier B.V.

Keywords

• 1-handle
• 2-dimensional braid
• Chart
• Surface-knot

Details

• CRID: 1390572175152382464
• NII Article ID: 120006602139
• NII Book ID: AA00459572
• ISSN: 01668641
• DOI: 10.24517/00053809
• Web Site: http://hdl.handle.net/2297/00053809
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles