Teruaki Kitano

collaborators

3 papers

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…

math.GT2025

A preorder on the set of links with applications to symmetric unions

Michel Boileau, Teruaki Kitano, Yuta Nozaki

For a link $L$ in the $3$ -sphere, the $π$ -orbifold group $G^{orb} (L)$ is defined as a quotient of the link group $G (L)$ of $L$ . When there exists an epimorphism $G^\mathrm{o…

math.GT2025

An extended symmetric union and its Alexander polynomial

Teruaki Kitano, Yasuharu Nakae

For prime knots $K_{1}$ and $K_{2}$ , we write $K_{1} \geq K_{2}$ if there is an epimorphism from the knot group of $K_{1}$ to that of $K_{2}$ which preserves the meridian. We construct a famil…