activity
20162023
most citedAn infinite presentation for the mapping class group of a non-orientable surface with boundary

3 citations · 4 across the 4 of their papers we have counts for

collaborators

9 papers

math.GT2023

The level mapping class group of a compact non-orientable surface

Ryoma Kobayashi

Let be a genus compact non-orientable surface with boundaries. We explain about relations on the level mapping class group of $N_{g,0…

math.GT2022

The level principal congruence subgroup of

Nao Imoto, Ryoma Kobayashi

The abelianization of the level principal congruence subgroup of was determined by Lee-Szczarba. By this result and a result of Tits, we ca…

cs.LG2022★ 1 cited

Learning from Label Proportions with Instance-wise Consistency

Ryoma Kobayashi, Yusuke Mukuta, Tatsuya Harada

Learning from Label Proportions (LLP) is a weakly supervised learning method that aims to perform instance classification from training data consisting of pairs of bags containing…

math.GT2021

On squares of Dehn twists about non-separating curves of a non-orientable closed surface

Nao Imoto, Ryoma Kobayashi

The level mapping class group of an orientable closed surface can be generated by squares of Dehn twists about non-separating curves. On the other hand, the level mapping c…

math.GT2020

Simple infinite presentations for the mapping class group of a compact non-orientable surface

Ryoma Kobayashi

Omori and the author have given an infinite presentation for the mapping class group of a compact non-orientable surface. In this paper, we give more simple infinite presentations…

math.GT2020

An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface

Ryoma Kobayashi, Genki Omori

A finite presentation for the subgroup of the mapping class group of a compact non-orientable surface generated by all Dehn twists was given by Stukow. In this paper, we give an in…