19 citations · 109 across the 49 of their papers we have counts for
50 papers
Twisted virtual braids and twisted links
Komal Negi, Madeti Prabhakar, Seiichi Kamada
Twisted knot theory introduced by M. Bourgoin is a generalization of knot theory. It leads us to the notion of twisted virtual braids. In this paper we show theorems for twisted li…
Twisted intersection colorings, invariants and double coverings of twisted links
Hiroki Ito, Seiichi Kamada
Twisted links are a generalization of classical links and correspond to stably equivalence classes of links in thickened surfaces. In this paper we introduce twisted intersection c…
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…
Knotted surfaces as vanishing sets of polynomials
Benjamin Bode, Seiichi Kamada
We present an algorithm that takes as input any element of the loop braid group and constructs a polynomial such that the intersection of the va…
Tensor products of quandles and 1-handles attached to surface-links
Seiichi Kamada
A quandle is an algebra with two binary operations satisfying three conditions which are related to Reidemeister moves in knot theory. In this paper we introduce the notion of the…
Cocycles of -Alexander biquandles and -Alexander multiple conjugation biquandles
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada +3
Biquandles and multiple conjugation biquandles are algebras which are related to links and handlebody-links in -space. Cocycles of them can be used to construct state-sum type i…