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Triviality of a surface-link with meridian-based free fundamental group

Geometric Topology 2021-05-06 v3

Abstract

It is proved that every disconnected surface-link with meridian-based free fundamental group is a trivial (i.e., an unknotted-unlinked) surface-link. This result is a surface-link version of the author's recent announcement result on smooth unknotting of a surface-knot.

Keywords

Cite

@article{arxiv.1804.04269,
  title  = {Triviality of a surface-link with meridian-based free fundamental group},
  author = {Akio Kawauchi},
  journal= {arXiv preprint arXiv:1804.04269},
  year   = {2021}
}

Comments

Minor expression changes and a reference addition