On wen knots
We introduce the notion of wen knots and prove that the set of wen knots is a proper subset of the set of extended welded knots. Furthermore, we prove that the complementary subset consists of welded knots up to horizontal mirror reflections. This allows us to characterize completely extended welded knots by the parity of their number of wens, which we can always reduce to 0 or 1.
Authors
- Céleste Damiani (ORCID: https://orcid.org/0000-0002-1990-6684)
- Shin Satoh (ORCID: https://orcid.org/0000-0002-4918-3683)
Institutions
- Italian Institute of Technology (IT)
- Kobe University (JP)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2025-02-06
- DOI
- https://doi.org/10.1142/s0218216525500105
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00