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Minimal generating sets and the abelianization for the quasitoric braid group,
to appear in Journal of Knot Theory and Its Ramifications (arXiv).
- (with Susumu Hirose),
Finite presentations for the balanced superelliptic mapping class groups, published online in Journal of Topology and Analysis.
(arXiv)
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(with Yuya Yoshida),
A finite presentation for the balanced superelliptic handlebody group, published online in Journal of Topology and Analysis.
(arXiv)
- (with Ryoma Kobayashi),
An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface, Tohoku Mathematical Journal 76 (2024), no. 2, 229--253.
(arXiv)
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The balanced superelliptic mapping class groups are generated by three elements, Advances in Geometry 24 (2024), no. 1, 111--125.
(arXiv)
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A positive factorization for the balanced superelliptic rotation, Topology and its Applications 328 (2023), Paper No. 108464, 16 pp. (arXiv)
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A small generating set for the balanced superelliptic handlebody group, Topology and its Applications 322 (2022), Paper No. 108333, 9 pp.
(arXiv)
- (with Ryoma Kobayashi),
An infinite presentation for the mapping class group of a non-orientable surface with boundary,
Osaka Journal of Mathematics 59, Number 2 (2022), 269--314. (arXiv)
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A small normal generating set for the handlebody subgroup of the Torelli group,
Geometriae Dedicata 201 (2019), 353--367. (arXiv)
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A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists,
Hiroshima Mathematical Journal 48 (2018), 81--88.
(arXiv)
- (with Ryoma Kobayashi),
A finite generating set for the level 2 twist subgroup of the mapping class group of a closed non-orientable surface,
Osaka Journal of Mathematics 54, Number 3 (2017), 457--474. (arXiv)
- (with Erika Kuno),
A lower bound of the distortion of the Torelli group in the mapping class group with boundary components,
Journal of Knot Theory and Its Ramifications 26 (2017), no. 8, 1750049, 4 pp. (arXiv)
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An infinite presentation for the mapping class group of a non-orientable surface,
Algebraic & Geometric Topology 17 (2017), 419--437. (arXiv)
- (with Ryoma Kobayashi),
A finite presentation for the automorphism group of the first homology of a non-orientable surface over $\mathbb{Z}_2$ preserving the mod 2 intersection form,
Topology Proceedings 48 (2016), 233--250. (arXiv)
vvg
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(with Naoki Sakata),
Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5,
arXiv:2303.10298
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