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math.GT2026
A ribbon knot which is not a symmetric union
Michel Boileau, Teruaki Kitano, Yuta Nozaki
A basic open question motivated by the study of ribbon knot diagrams asks whether every ribbon knot can be presented as a symmetric union. In this article, we give a negative answe…
math.GT2026
Real analytic lift of foliations of Thurston and Tsuboi
Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita
Thurston constructed codimension one foliations on thereby proved that the homomorphism induced by the Godbillon-Vey inv…
math.GT2026
An extended symmetric union with multiple tangle regions and its Alexander polynomial
Teruaki Kitano, Yasuharu Nakae
The authors recently introduced a new construction of a knot as an extended symmetric union of a knot with a single tangle region. In this paper, we generalize the construction to…