論文など (Research Papers)
出版済み、あるいは出版予定 (Published or Accepted papers)
① Relative quasimorphisms and stably unbounded norms on the group of symplectomorphisms of the Euclidean spaces, J. Symplectic Geom. 14 (2016), no. 1, 297--304.
② Bavard's duality theorem on conjugation-invariant norms, Pacific J. Math. 288 (2017), no. 1, 157--170.
③ Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories (joint work with Ryuma Orita), J. Mod. Dyn. 11 (2017), 313--339.
④ Extension problem of subset-controlled quasimorphisms, Proc. Amer. Math. Soc. Ser. B 5 (2018), 1--5.
⑤ Fragmented Hofer's geometry, Internat. J. Math. 29 (2018), no. 13, 1850097, 12 pp.
⑥ Superheavy Lagrangian immersions in surfaces, J. Symplectic Geom. 17 (2019), no. 1, 239--249.
⑦ Disjoint superheavy subsets and fragmentation norms (joint work with Ryuma Orita), J. Topol. Anal. 13 (2021), no. 2, 443--468.
⑧ Existence of pseudo-heavy fibers of moment maps (joint work with Ryuma Orita), Commun. Contemp. Math. 23 (2021), no. 5, Paper No. 2050047, 19 pp
⑨ \hat{G}-invariant quasimorphisms and symplectic geometry of surfaces (joint work with Mitsuaki Kimura), Israel J. Math. 247 (2022), no. 2, 845--871.
⑩ Rigid fibers of integrable systems on cotangent bundles(joint work with Ryuma Orita), J. Math. Soc. Japan 74 (2022), no. 3, 829--847.
⑪Bavard's duality theorem for mixed commutator length (joint work with Mitsuaki Kimura, Takahiro Matsushita, Masato Mimura), Enseign. Math. 68 (2022), no. 3-4, 441--481.
⑫Mixed commutator lengths, wreath products and general ranks (joint work with Mitsuaki Kimura, Shuhei Maruyama, Takahiro Matsushita, Masato Mimura), to appear in Kodai Mathematical Journal.
⑬Commuting symplectomorphisms on a surface and the flux homomorphism (joint work with Mitsuaki Kimura, Takahiro Matsushita, Masato Mimura), arXiv:2102.12161, to appear in Geom. Funct. Anal.
⑭On boundedness of characteristic class via quasi-morphism (joint work with Shuhei Maruyama), arXiv:2012.10612, to appear in J. Topol. Anal..
プレプリント (Preprints)
① Heavy subsets and non-contractible trajectories, arxiv:1606.01964.
② Function theoretical applications of Lagrangian spectral invariants, arXiv:1811.00527.
③The space of non-extendable quasimorphisms (joint work with Mitsuaki Kimura, Shuhei Maruyama, Takahiro Matsushita, Masato Mimura), arXiv:2107.08571.
④Survey on invariant quasimorphisms and stable mixed commutator length (joint work with Mitsuaki Kimura, Shuhei Maruyama, Takahiro Matsushita, Masato Mimura), arXiv:2212.11180.
査読なし論文
① Application of fragmentation norms to transported points by Hamiltonian isotopies (joint work with Ryuma Orita), RIMS Kokyuroku 2098 (2018), 57--59.