Search Results for author: Takahiro Matsushita

Found 2 papers, 0 papers with code

Commuting symplectomorphisms on a surface and the flux homomorphism

no code implementations24 Feb 2021 Morimichi Kawasaki, Mitsuaki Kimura, Takahiro Matsushita, Masato Mimura

Let $(S,\omega)$ be a closed connected oriented surface whose genus $l$ is at least two equipped with a symplectic form.

Symplectic Geometry Group Theory Geometric Topology Primary 20F12, 20J05, 37E35, 53D35, 70H15, Secondary 20F36, 37A15, 37J05, 37J10, 57R17, 53D22

Bavard's duality theorem for mixed commutator length

no code implementations5 Jul 2020 Morimichi Kawasaki, Mitsuaki Kimura, Takahiro Matsushita, Masato Mimura

The goal in this paper is to establish Bavard's duality theorem of $G$-invariant quasimorphisms, which was previously proved by Kawasaki and Kimura in the case $N = [G, N]$.

Group Theory Algebraic Topology Geometric Topology

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