activity
20082025
most citedPositive factorizations of mapping classes

10 citations · 46 across the 19 of their papers we have counts for

collaborators

22 papers

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 -torus knot

Naoyuki Monden, Reo Yabuguchi

We show that for any positive integer , a knot surgered elliptic surface for a -torus knot and the elliptic surface admi…

math.GT2023

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.GT2022

Generating the Level 2 Subgroup by Involutions

Tulin Altunoz, Naoyuki Monden, Mehmetcik Pamuk +1

We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.

math.GT2021★ 1 cited

On minimal generating sets for the mapping class group of a punctured surface

Naoyuki Monden

Let be a oriented connected surface of genus with punctures. We denote by and the mapping class group and the extended…

math.GT2019★ 1 cited

Unchaining surgery and topology of symplectic 4-manifolds

R. Inanc Baykur, Kenta Hayano, Naoyuki Monden

We study a symplectic surgery operation we call unchaining, which effectively reduces the second Betti number and the symplectic Kodaira dimension at the same time. Using unchainin…