SEARCH
検索詳細
川崎 盛通 (カワサキ モリミチ)
| 理学研究院 数学部門 数学分野 | 准教授 |
| 附属社会創造数学研究センター | 准教授 |
研究者基本情報
■ 学位■ URL
researchmap URLホームページURL■ ID 各種
ORCID IDJ-Global ID■ 研究キーワード・分野
研究分野■ 担当教育組織
研究活動情報
■ 論文- The space of nonextendable quasimorphisms
Morimichi Kawasaki; Mitsuaki Kimura; Shuhei Maruyama; Takahiro Matsushita; Masato Mimura
Algebraic & Geometric Topology, 25, 2, 1169, 1226, Mathematical Sciences Publishers, 2025年05月16日
研究論文（学術雑誌） - On boundedness of characteristic classes via quasi-morphisms
Morimichi Kawasaki; Shuhei Maruyama
Journal of Topology and Analysis, 1, 27, World Scientific Pub Co Pte Ltd, 2024年07月19日, ［査読有り］, ［責任著者］
研究論文（学術雑誌）, In this paper, we characterize the second bounded characteristic classes of foliated bundles in terms of the non-descendible quasi-morphisms on the universal covering of the structure group. As an application, we study the boundedness of obstruction classes for (contact) Hamiltonian fibrations and show the non-existence of foliated structures on some Hamiltonian fibrations. - Mixed commutator lengths, wreath products and general ranks
Morimichi Kawasaki; Mitsuaki Kimura; Shuhei Maruyama; Takahiro Matsushita; Masato Mimura
Kodai Mathematical Journal, 46, 2, Tokyo Institute of Technology, Department of Mathematics, 2023年06月30日, ［査読有り］, ［責任著者］
研究論文（学術雑誌） - Commuting symplectomorphisms on a surface and the flux homomorphism
Morimichi Kawasaki; Mitsuaki Kimura; Takahiro Matsushita; Masato Mimura
Geometric and Functional Analysis, 33, 5, 1322, 1353, Springer Science and Business Media LLC, 2023年06月14日, ［査読有り］, ［責任著者］
研究論文（学術雑誌） - Rigid fibers of integrable systems on cotangent bundles
Morimichi KAWASAKI; Ryuma ORITA
Journal of the Mathematical Society of Japan, 74, 3, Mathematical Society of Japan (Project Euclid), 2022年07月22日, ［査読有り］, ［責任著者］
英語, 研究論文（学術雑誌） - Bavard’s duality theorem for mixed commutator length
Morimichi Kawasaki; Mitsuaki Kimura; Takahiro Matsushita; Masato Mimura
L’Enseignement Mathématique, 68, 3, 441, 481, European Mathematical Society - EMS - Publishing House GmbH, 2022年07月06日, ［査読有り］
英語, 研究論文（学術雑誌） - Ĝ-invariant quasimorphisms and symplectic geometry of surfaces
Morimichi Kawasaki; Mitsuaki Kimura
Israel Journal of Mathematics, 247, 2, 845, 871, Springer Science and Business Media LLC, 2022年04月, ［査読有り］, ［責任著者］
英語, 研究論文（学術雑誌） - Disjoint superheavy subsets and fragmentation norms
Morimichi Kawasaki; Ryuma Orita
Journal of Topology and Analysis, 13, 02, 443, 468, World Scientific Pub Co Pte Lt, 2021年06月, ［査読有り］, ［責任著者］
英語, 研究論文（学術雑誌）, We present a lower bound for a fragmentation norm and construct a bi-Lipschitz embedding [Formula: see text] with respect to the fragmentation norm on the group [Formula: see text] of Hamiltonian diffeomorphisms of a symplectic manifold [Formula: see text]. As an application, we provide an answer to Brandenbursky’s question on fragmentation norms on [Formula: see text], where [Formula: see text] is a closed Riemannian surface of genus [Formula: see text]. - Existence of pseudoheavy fibers of moment maps
Morimichi Kawasaki; Ryuma Orita
Communications in Contemporary Mathematics, 23, 05, 2050047, 2050047, World Scientific Pub Co Pte Lt, 2020年07月07日, ［査読有り］, ［責任著者］
英語, 研究論文（学術雑誌）, In this paper, we introduce the notion of pseudoheaviness of closed subsets of closed symplectic manifolds and prove the existence of pseudoheavy fibers of moment maps. In particular, we generalize Entov and Polterovich’s theorem, which ensures the existence of non-displaceable fibers. As its application, we provide a partial answer to a problem posed by them, which asks the existence of heavy fibers. Moreover, we obtain a family of singular Lagrangian submanifolds in [Formula: see text] with various rigidities. - Superheavy Lagrangian immersions in surfaces
Morimichi Kawasaki
Journal of Symplectic Geometry, 17, 1, 239, 249, International Press of Boston, 2019年, ［査読有り］, ［責任著者］
研究論文（学術雑誌） - Fragmented Hofer’s geometry
Morimichi Kawasaki
International Journal of Mathematics, 29, 13, 1850097, 1850097, World Scientific Pub Co Pte Lt, 2018年12月27日, ［査読有り］, ［責任著者］
研究論文（学術雑誌）, Hofer’s norm (metric) is an important and interesting topic in symplectic geometry. In the present paper, we define fragmented Hofer’s norms which are Hofer’s norms controlled by fragmentation norms and give some observations on fragmented Hofer’s norms. - Extension problem of subset-controlled quasimorphisms
Morimichi Kawasaki
Proceedings of the American Mathematical Society, Series B, 5, 1, 1, 5, American Mathematical Society (AMS), 2018年01月22日, ［査読有り］, ［責任著者］
英語, 研究論文（学術雑誌）,Let be or . We conjecture that any semi-homogeneous subset-controlled quasimorphism on can be extended to a homogeneous subset-controlled quasimorphism on and also give a theorem supporting this conjecture by using a Bavard-type duality theorem on conjugation invariant norms.
- Bavard’s duality theorem on conjugation-invariant norms
Morimichi Kawasaki
Pacific Journal of Mathematics, 288, 1, 157, 170, Mathematical Sciences Publishers, 2017年04月08日, ［査読有り］, ［責任著者］
研究論文（学術雑誌） - Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories
Morimichi Kawasaki; Ryuma Orita
Journal of Modern Dynamics, 11, 1, 313, 339, American Institute of Mathematical Sciences (AIMS), 2017年, ［査読有り］
研究論文（学術雑誌） - Relative quasimorphisms and stably unbounded norms on the group of symplectomorphisms of the Euclidean spaces
Morimichi Kawasaki
Journal of Symplectic Geometry, 14, 1, 297, 304, International Press of Boston, 2016年, ［査読有り］, ［責任著者］
研究論文（学術雑誌）
- 大学院共通授業科目（一般科目）：自然科学・応用科学, 2024年, 修士課程, 大学院共通科目
- 現代数学概説, 2024年, 修士課程, 理学院
- 基礎数学演習Ｂ２, 2024年, 学士課程, 理学部
- 基礎数学Ｂ２, 2024年, 学士課程, 理学部
- 幾何学Ｃ, 2024年, 学士課程, 理学部
- 線形代数学Ⅰ, 2024年, 学士課程, 全学教育
- 線形代数学Ⅱ, 2024年, 学士課程, 全学教育
- 基礎数学演習Ｂ, 2024年, 学士課程, 理学部
- 基礎数学Ｂ, 2024年, 学士課程, 理学部
