Naoyuki Monden

collaborators

3 papers

math.GT2025

On generating mapping class groups by pseudo-Anosov elements

Susumu Hirose, Naoyuki Monden

Wajnryb proved that the mapping class group of a closed oriented surface is generated by two elements. We proved that the mapping class group is generated by two pseudo-Anosov elem…

math.GT2025

On Nielsen equivalence classes of two-elements generators of mapping class groups

Susumu Hirose, Naoyuki Monden

We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.

math.GT2025

Knot surgered elliptic surfaces for a $(2, 2 h + 1)$ -torus knot

Naoyuki Monden, Reo Yabuguchi

We show that for any positive integer $h$ , a knot surgered elliptic surface $E (n)_{T (2, 2 h + 1)}$ for a $(2, 2 h + 1)$ -torus knot $T (2, 2 h + 1)$ and the elliptic surface $E (1)_{2, 2 h + 1}$ admi…

On generating mapping class groups by pseudo-Anosov elements

On Nielsen equivalence classes of two-elements generators of mapping class groups

Knot surgered elliptic surfaces for a (2,2h+1)-torus knot

Knot surgered elliptic surfaces for a $(2, 2 h + 1)$ -torus knot