4 citations · 5 across the 3 of their papers we have counts for
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math.GT2022
Boundedness of bundle diffeomorphism groups over a circle
Kazuhiko Fukui, Tatsuhiko Yagasaki
In this paper we study boundedness of bundle diffeomorphism groups over a circle. For a fiber bundle with fiber and structure group and $r \in {\Bbb Z}_{\geq…
math.GT2019★ 1 cited
The uniform perfectness of diffeomorphism groups of open manifolds
Kazuhiko Fukui, Tomasz Rybicki, Tatsuhiko Yagasaki
In this paper we study the uniform perfectness, boundedness and uniform simplicity of diffeomorphism groups of compact manifolds with boundary and open manifolds and obtain some up…
math.GT2007★ 4 cited
The first homology of the group of equivariant diffeomorphisms and its application
Kojun Abe, Kazuhiko Fukui
Let V be a representation space of a finite group G. We determine the group structure of the first homology of the equivariant diffeomorphism group of V. Then we can apply it to th…