2 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.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…