6 papers
Surfaces in the 4-ball constructed using generators of knits and their graphical description
Inasa Nakamura, Jumpei Yasuda
We introduce a new construction of surfaces in , called knitted surfaces or BMW surfaces, which are described as the trace of deformations of knits. Here, knits are…
Torus-covering knot groups and their irreducible metabelian -representations
Inasa Nakamura
A torus-covering -knot is a surface-knot of genus one determined from a pair of commutative braids. For a torus-covering -knot , we determine the number of irreducible…
Branched covering surface-knots with degree three have the simplifying numbers less than three
Inasa Nakamura
A branched covering surface-knot is a surface-knot in the form of a branched covering over a surface-knot. For a branched covering surface-knot, we have a numerical invariant calle…
Simplifying branched covering surface-knots by chart moves involving black vertices
Inasa Nakamura
A branched covering surface-knot is a surface-knot in the form of a branched covering over an oriented surface-knot , where we include the case when the covering has no branch p…
Simplifying branched covering surface-knots by an addition of 1-handles with chart loops
Inasa Nakamura
A branched covering surface-knot over an oriented surface-knot is a surface-knot in the form of a branched covering over . A branched covering surface-knot over is prese…
Transformations of partial matchings
Inasa Nakamura
We consider partial matchings, which are finite graphs consisting of edges and vertices of degree zero or one. We consider transformations between two states of partial matchings.…