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Relative simplicity of the universal coverings of transformation groups and Tsuboi's metric
Morimichi Kawasaki, Mitsuaki Kimura, Hiroki Kodama +3
Many transformation groups on manifolds are simple, but their universal coverings are not. In the present paper, we study the concept of relatively simple group, that is, a group w…
Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains
Mitsuaki Kimura, Takeshi Matsumoto, Takashi Sakajo +2
The dynamics and statistical properties of two-dimensional (2D) turbulence are often investigated through numerical simulations of incompressible, viscous fluids in doubly periodic…
Invariant quasimorphisms and generalized mixed Bavard duality
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
This article provides an expository account of the celebrated duality theorem of Bavard and three its strengthenings. The Bavard duality theorem connects scl (stable commutator len…