3 papers
math.GT2026
Blanchfield pairings and twisted Blanchfield pairings of torus knots
Koki Yanagida
We give explicit matrix presentations of the Blanchfield pairing and certain twisted Blanchfield pairings of the -torus knot . Our method uses a taut identity realiz…
math.GT2025
Parabolic Dijkgraaf-Witten invariants of links in the -sphere
Koki Yanagida
We define a new invariant of links in the -sphere and call it the parabolic Dijkgraaf-Witten (DW) invariant. This invariant is a generalization of the reduced DW invariant deriv…
math.GT2025
Dijkgraaf-Witten invariant in topological -theory
Koki Yanagida
Given a finite group , we define a new invariant of odd-dimensional oriented closed manifolds and call it the KDW invariant. This invariant is a Dijkgraaf--Witten invariant in t…