21 citations · 40 across the 14 of their papers we have counts for
4 papers · 1 filter
The shadow nature of positive and twisted quandle cocycle invariants of knots
Seiichi Kamada, Victoria Lebed, Kokoro Tanaka
Quandle cocycle invariants form a powerful and well developed tool in knot theory. This paper treats their variations - namely, positive and twisted quandle cocycle invariants, and…
On rack colorings for surface-knot diagrams without branch points
Kanako Oshiro, Kokoro Tanaka
Racks do not give us invariants of surface-knots in general. For example, if a surface-knot diagram has branch points (and a rack which we use satisfies some mild condition), then…
Regular-equivalence of -knot diagrams and sphere eversions
Masamichi Takase, Kokoro Tanaka
For each diagram of a -knot, we provide a way to construct a new diagram of the same knot such that any sequence of Roseman moves between and necessarily invol…
Charts, signatures, and stabilizations of Lefschetz fibrations
Hisaaki Endo, Isao Hasegawa, Seiichi Kamada +1
We employ a certain labeled finite graph, called a chart, in a closed oriented surface for describing the monodromy of a(n achiral) Lefschetz fibration over the surface. Applying c…