Genki Omori
Japanese
English
Top
Paper
Talks
Papers
-
The balanced superelliptic mapping class groups are generated by three elements, to appear in Advances in Geometry.
(arXiv:2203.14460)
- (with Susumu Hirose),
Finite presentations for the balanced superelliptic mapping class groups, to appear in Journal of Topology and Analysis.
(arXiv:2203.13413)
-
(with Yuya Yoshida),
A finite presentation for the balanced superelliptic handlebody group, to appear in Journal of Topology and Analysis.
(arXiv:2206.13006)
- (with Ryoma Kobayashi),
An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface, to appear in Tohoku Mathematical Journal.
(arXiv:2009.02022)
-
A positive factorization for the balanced superelliptic rotation, Topology and its Applications 328 (2023), Paper No. 108464, 16 pp. (arXiv)
-
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)
-
A small normal generating set for the handlebody subgroup of the Torelli group,
Geometriae Dedicata 201 (2019), 353--367. (arXiv)
-
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,
J. Knot Theory Ramifications 26 (2017), no. 8, 1750049, 4 pp. (arXiv)
-
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)
Preprints
-
(with Naoki Sakata),
Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5,
arXiv:2303.10298
-
Minimal generating sets and the abelianization for the quasitoric braid group,
arXiv:2301.07917.
To Top