On wen knots
arxiv(2024)
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.
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