Double coverings of twisted links

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Abstract

Twisted links are a generalization of virtual links. As virtual links correspond to abstract links on orientable surfaces, twisted links correspond to abstract links on (possibly non-orientable) surfaces. In this paper, we introduce the notion of the double covering of a twisted link. It is defined by considering the orientation double covering of an abstract link or alternatively by constructing a diagram called a double covering diagram. We also discuss links in thickened surfaces, their diagrams and their stable equivalence classes. Bourgoin's twisted knot group is understood as the virtual knot group of the double covering.

Journal

  • Journal of Knot Theory and Its Ramifications

    Journal of Knot Theory and Its Ramifications 25(9), 1641011, 2016-07-12

    World Scientific Publishing Company

Codes

  • NII Article ID (NAID)
    120006528661
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1793-6527
  • Data Source
    IR 
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