9 papers
Some comparisons of Blanchfield pairings and cohomology pairings of knots
Takefumi Nosaka
We study some comparison between a bilinear cohomology pairing in local coefficients and the Blanchfield pairing of a knot. We show that the former pairing is an -equivalent inv…
Twisted Alexander invariants of knot group representations II; computation and duality
Takefumi Nosaka
Given a homomorphism from a link group to a group, we introduce a -class in another way, which is a generalization of the 1-variable Alexander polynomial. We compare the …
Twisted Alexander invariants of knot group representations
Takefumi Nosaka
Given a homomorphism from a knot group to a fixed group, we introduce an element of a -group, which is a generalization of (twisted) Alexander polynomials. We compare this $K_…
Meta-nilpotent quotients of mapping-torus groups and two topological invariants of quadratic forms
Takefumi Nosaka
We determine the center of a meta-nilpotent quotient of a mapping-torus group. As a corollary, we introduce two invariants, which are quadratic forms, of knots and of mapping class…
Schur Multipliers and Second Quandle Homology
Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee +2
We define a map from second quandle homology to the Schur multiplier and examine its properties. Furthermore, we express the second homology of Alexander quandles in terms of exter…
Twisted cohomology pairings of knots III; triple cup products
Takefumi Nosaka
Given a representation of a link group, we introduce a trilinear form, as a topological invariant. We show that, if the link is either hyperbolic or a knot with malnormality, then…