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Gambaudo--Ghys construction on bounded cohomology
Mitsuaki Kimura
We consider a generalized Gambaudo--Ghys construction on bounded cohomology and prove its injectivity. As a corollary, we prove that the third bounded cohomology of the group of ar…
math.GT2020
Norm-controlled cohomology of transformation groups
Mitsuaki Kimura
We generalize the result of Brandenbursky and Marcinkowski for the bounded cohomology of transformation groups to infinite volume case. To state the result, we introduce the notion…