2 papers
math.GT2026
The r-coverings and local moves of planar virtual knotoids
Jiacheng An, Fengling Li, Andrei Vesnin
In this paper, we study planar virtual knotoids, which generalize virtual knots and knotoids both. We consider the problem of whether two given planar virtual knotoids can be trans…
math.GT2026
Coloring-allowed Invariants and the 4-phases Functions of Knotoids
Haocong Chen, Jiacheng An, Fengling Li
In recent years, numerous polynomial invariants of knotoids have been constructed, some of which are defined with the signs of the crossings. In this paper, the coloring-allowed in…