Knots Related by Knotoids
- Colin Adamsb(Author),
- Allison Henrichd(Author),
- ,
- Nicholas Scovillec(Author)
- ,
- bWilliams College,
- cUrsinus College,
- dSeattle University
Research Output: Contribution to journal Article Peer-review
Abstract
Turaev recently introduced the concept of a knotoid as a particular sort of knotted arc. There are several maps from knotoids to ordinary knots, or knotted circles. The two most natural ways of defining such maps give us an interesting relation between pairs of knots. In this paper, we explore this relation and ask the question: which pairs of knots are related to each other by a knotoid?.
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