A+ CATEGORY SCIENTIFIC UNIT

On surface braids of index four with at most two crossings

Volume 188 / 2005

Teruo Nagase, Akiko Shima Fundamenta Mathematicae 188 (2005), 167-193 MSC: Primary {57Q45}; Secondary {57Q35}. DOI: 10.4064/fm188-0-9

Abstract

Let $\varGamma $ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from $\varGamma $ is one $2$-sphere, then the sphere is a ribbon surface.

Authors

  • Teruo NagaseDepartment of Mathematics
    Tokai University
    1117 Kitakaname, Hiratuka
    Kanagawa, 259-1292 Japan
    e-mail
  • Akiko ShimaDepartment of Mathematics
    Tokai University
    1117 Kitakaname, Hiratuka
    Kanagawa, 259-1292 Japan
    e-mail

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