論文等

Ryuma Orita, Kanon Yashiro (2024). The simplicial Morse–Bott–Smale chain complex. In preparation.

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

Ryuma Orita (2023). Topological complexity of monotone symplectic manifolds. arXiv:2311.14989.

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

田中環, 小島秀雄, 星明考, 折田龍馬, 印南信宏, 吉原久夫 (2022). 要点明解線形数学三訂版. 培風館.

出版社のページ

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