English

Properties of minimal charts and their applications IV: Loops

Geometric Topology 2017-04-04 v1

Abstract

We investigate minimal charts with loops, a simple closed curve consisting of edges of label mm containing exactly one white vertex. We shall show that there does not exist any loop in a minimal chart with exactly seven white vertices in this paper.

Keywords

Cite

@article{arxiv.1603.04639,
  title  = {Properties of minimal charts and their applications IV: Loops},
  author = {Teruo Nagase and Akiko Shima},
  journal= {arXiv preprint arXiv:1603.04639},
  year   = {2017}
}

Comments

34 pages, 28 figures