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math.SG2020★ 1 cited
On boundedness of characteristic class via quasi-morphism
Morimichi Kawasaki, Shuhei Maruyama
In this paper, we characterize the second bounded characteristic classes of foliated bundles in terms of the non-descendible quasi-morphisms on the universal covering of the struct…
math.SG2020★ 1 cited
The Dixmier-Douady class, the action homomorphism, and group cocycles on the symplectomorphism group
Shuhei Maruyama
Let be a one-connected and integral symplectic manifold. In this paper, we construct and study a two-cocycle and three-cocycle on the symplectomorphism group of . In particu…