English

Some generalizations of Satoh's Tube map

Geometric Topology 2021-03-17 v1 Algebraic Topology

Abstract

Satoh has defined a map from virtual knots to ribbon surfaces embedded in S4S^4. Herein, we generalize this map to virtual mm-links, and use this to construct generalizations of welded and extended welded knots to higher dimensions. This also allows us to construct two new geometric pictures of virtual mm-links, including 1-links.

Keywords

Cite

@article{arxiv.2103.08766,
  title  = {Some generalizations of Satoh's Tube map},
  author = {Blake K Winter},
  journal= {arXiv preprint arXiv:2103.08766},
  year   = {2021}
}

Comments

13 page, 6 figures