activity
20002020
most citedNew Invariants of Long Virtual Knots

7 citations · 8 across the 3 of their papers we have counts for

collaborators

9 papers

math.GT2020

Doodles and commutator identities

Andrew Bartholomew, Roger Fenn, Naoko Kamada +1

A doodle is a collection of immersed circles without triple intersections in the -sphere. It was shown by the second author and P.~Tayler that doodles induce commutator identiti…

math.GT2019

Cyclic coverings of virtual link diagrams

Naoko Kamada

A virtual link diagram is called mod almost classical if it admits an Alexander numbering valued in integers modulo , and a virtual link is called mod almost classical i…

math.GT2018

Colorings and doubled colorings of virtual doodles

Andrew Bartholomew, Roger Fenn, Naoko Kamada +1

A virtual doodle is an equivalence class of virtual diagrams under an equivalence relation generated by flat version of classical Reidemesiter moves and virtual Reidemsiter moves s…

math.GT2018

On Gauss codes of virtual doodles

Andrew Bartholomew, Roger Fenn, Naoko Kamada +1

We discuss Gauss codes of virtual diagrams and virtual doodles. The notion of a left canonical Gauss code is introduced and it is shown that oriented virtual doodles are uniquely p…

math.GT2018

Virtual links which are equivalent as twisted links

Naoko Kamada, Seiichi Kamada

A virtual link is a generalization of a classical link that is defined as an equivalence class of certain diagrams, called virtual link diagrams. It is further generalized to a twi…

math.GT20171 cited

Coherent double coverings of virtual link diagrams

Naoko Kamada

A virtual link diagram is called normal if the associated abstract link diagram is checkerboard colorable, and a virtual link is normal if it has a normal diagram as a representati…