Scholarlink

<p>It is known that any periodic map of order <i>n</i> on a closed oriented surface of genus <i>g</i> can be equivariantly embedded into <i>S</i><sup><i>m</i></sup> for some <i>m</i>. In the orientable and smooth category, we determine the smallest possible <i>m</i> when <i>n</i> ⩾ 3<i>g</i>. We show that for each integer <i>k</i> &gt; 1, there exist infinitely many periodic maps such that the smallest possible <i>m</i> is equal to <i>k</i>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Embedding periodic maps of surfaces into those of spheres with minimal dimensions

  • 期刊论文

  • 发表日期：

    2025年4月29日

查看全文
  • Chao Wang,
  • Shicheng Wang,
  • Zhongzi Wang

摘要

It is known that any periodic map of order n on a closed oriented surface of genus g can be equivariantly embedded into Sm for some m. In the orientable and smooth category, we determine the smallest possible m when n ⩾ 3g. We show that for each integer k > 1, there exist infinitely many periodic maps such that the smallest possible m is equal to k.