On wen knots
Geometric Topology
2024-03-07 v1
Abstract
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 allow us to characterise completely extended welded knots by the parity of their number of wens, that we can always reduce to 0 or 1.
Keywords
Cite
@article{arxiv.2403.03917,
title = {On wen knots},
author = {Celeste Damiani and Shin Satoh},
journal= {arXiv preprint arXiv:2403.03917},
year = {2024}
}
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