activity
20102026
most citedCentral extensions of groups and adjoint groups of quandles

9 citations · 40 across the 33 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.GT2021

Fox pairings of Poincaré duality groups

Takefumi Nosaka

This paper develops the study of Fox pairings of a group from the viewpoint of group cohomology. We compute some cohomology groups of Fox pairings of , where admits a Po…

math.GT2021

Goldman-type Lie algebras from knots

Takefumi Nosaka

We define Lie algebras from a class of knots in a homology 3-sphere. Since the definitions in terms of group homology are analogous to Goldman Lie algebra \cite{Gold}, we discuss r…

math.GT2021★ 3 cited

Cellular chain complexes of universal covers of some 3-manifolds

Takefumi Nosaka

For a closed 3-manifold in a certain class, we give a presentation of the cellular chain complex of the universal cover of . The class includes all surface bundles, some sur…

math.GT2021

Meta-nilpotent knot invariants and symplectic automorphism groups of free nilpotent groups

Takefumi Nosaka

We develop nilpotently -localization of knot groups in terms of the (symplectic) automorphism groups of free nilpotent groups. We show that any map from the set of conjugacy cla…