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The stable Albanese homology of the IA-automorphism groups of free groups
Mai Katada
The IA-automorphism group of the free group of rank is a normal subgroup of the automorphism group of . We study the…
The first homology of with coefficients in spaces of Jacobi diagrams
Mai Katada
The aim of this paper is to compute the first homology of with coefficients in the -module of Jacobi diagrams of degree …
On Borel's stable range of the twisted cohomology of
Kazuo Habiro, Mai Katada
Borel's stability and vanishing theorem gives the stable cohomology of with coefficients in algebraic -representations. We co…
On the stable cohomology of the IA-automorphism groups of free groups
Kazuo Habiro, Mai Katada
Borel's stability and vanishing theorem gives the stable cohomology of with coefficients in algebraic -representations. By co…
Stable rational homology of the IA-automorphism groups of free groups
Mai Katada
The rational homology of the IA-automorphism group of the free group is still mysterious. We study the quotient of the rational homology of $\operatorna…