English

Minimal Charts

Geometric Topology 2017-04-05 v2

Abstract

In this paper, we give definitions of three kinds of minimal charts, and we investigate properties of minimal charts and establish fundamental theorems characterizing minimal charts. To classify charts with two or three crossings we use the fundamental theorems. In the future paper, we give an numeration of the charts with two crossings.

Cite

@article{arxiv.1602.02958,
  title  = {Minimal Charts},
  author = {Teruo Nagase and Akiko Shima},
  journal= {arXiv preprint arXiv:1602.02958},
  year   = {2017}
}

Comments

56 pages, 27 figures

R2 v1 2026-06-22T12:46:35.262Z