9 citations · 40 across the 33 of their papers we have counts for
4 papers · 1 filter
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…
de Rham theory and cocycles of cubical sets from smooth quandles
Takefumi Nosaka
We show a de Rham theory for cubical manifolds, and study rational homotopy type of the classifying spaces of smooth quandles. We also show that secondary characteristic classes in…
Milnor-Orr invariants from the Kontsevich invariant
Takefumi Nosaka
As nilpotent studies in knot theory, we focus on invariants of Milnor, Orr, and Kontsevich. We show that the Orr invariant of degree is equivalent to the tree reduction of th…