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math.GT2019★ 1 cited
The translation number and quasi-morphisms on groups of symplectomorphisms of the disk
Shuhei Maruyama
On groups of symplectomorphisms of the disk, we construct two homogeneous quasi-morphisms which relate to the Calabi invariant and the flux homomorphism respectively. We also show…
math.GT2019★ 1 cited
The flux homomorphism and central extensions of diffeomorphism groups
Shuhei Maruyama
Let be a 2-dimensional closed unit disk and the group of symplectomorphisms preserving the origin and the boundary pointwise. We consid…