Virtual links which are equivalent as twisted links
作者: Naoko KamadaSeiichi Kamada
刊名: Proceedings of the American Mathematical Society, 2020, Vol.148 (5), pp.2273-2285
来源数据库: American Mathematical Society Journal
DOI: 10.1090/proc/14899
关键词: Virtual linksTwisted links
原始语种摘要: A virtual link is a generalization of a classical link that is defined as an equivalence class of certain diagrams, called virtual link diagrams. It is further generalized to a twisted link. Twisted links are in one-to-one correspondence with stable equivalence classes of links in oriented thickenings of (possibly nonorientable) closed surfaces. By definition, equivalent virtual links are also equivalent as twisted links. In this paper, we discuss when two virtual links are equivalent as twisted links, and give a necessary and sufficient condition for this to be the case.
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关键词翻译
关键词翻译
  • links 索引节指针数
  • virtual 虚的
  • equivalent 当量
  • correspondence 通信
  • generalized 广义
  • oriented 定向的
  • twisted 弯的
  • nonorientable 不能定向的
  • equivalence 等价
  • closed 闭路的