Publications

Ryuma ORITA, Kanon Yashiro (2025). Simplified Morse-Bott-Smale chain complex. arXiv:2504.16962.

Ryuma ORITA (2025). Topological complexity of monotone symplectic manifolds. Tokyo J. Math., Advance Publication.

arXiv Journal Page

Morimichi Kawasaki, Mitsuaki Kimura, Hiroki Kodama, Yoshifumi Matsuda, Takahiro Matsushita, Ryuma ORITA (2024). Relative simplicity of the universal coverings of transformation groups and Tsuboi's metric. arXiv:2412.00839.

Kanta Koeda, Ryuma ORITA, Kanon Yashiro (2023). Floer-type bipersistence modules and rectangle barcodes. arXiv:2312.07847.

Morimichi Kawasaki, Ryuma ORITA (2022). Rigid fibers of integrable systems on cotangent bundles. J. Math. Soc. Japan, vol. 74, no. 3, pp. 829–847.

arXiv Journal Page

Tamaki Tanaka, Hideo Kojima, Akinari Hoshi, Ryuma ORITA, Nobuhiro Innami, Hisao Yoshihara (2022). Linear Mathematics, Third Edition (Japanese). Baifukan.

Morimichi Kawasaki, Ryuma ORITA (2020). Existence of pseudoheavy fibers of moment maps. Commun. Contemp. Math., vol. 23, no. 5, 2050047.

arXiv Journal Page

Ryuma ORITA (2020). On the existence of infinitely many non-contractible periodic orbits of Hamiltonian diffeomorphisms of closed symplectic manifolds. J. Symplectic Geom., vol. 17, no. 6, pp. 1893–1927.

arXiv Journal Page

Morimichi Kawasaki, Ryuma ORITA (2019). Disjoint superheavy subsets and fragmentation norms. J. Topol. Anal., vol. 13, no. 2, pp. 443–468.

arXiv Journal Page

Morimichi Kawasaki, Ryuma ORITA (2018). Application of fragmentation norms to transported points by Hamiltonian isotopies. RIMS Kôkyûroku, vol. 2098, pp. 57–59.

Ryuma ORITA (2017). Morse-Bott inequalities for manifolds with boundary. Tokyo J. Math., vol. 41, no. 1, pp. 113–130.

arXiv Journal Page

Ryuma ORITA (2017). Non-contractible periodic orbits in Hamiltonian dynamics on tori. Bull. Lond. Math. Soc., vol. 49, no. 4, pp. 571–580.

arXiv Journal Page

Morimichi Kawasaki, Ryuma ORITA (2017). Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories. J. Mod. Dyn., vol. 11, pp. 313–339.

arXiv Journal Page