Atsushi Ishii

most citedA knotted 2-dimensional foam with non-trivial cocycle invariant

4 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.GT2012★ 4 cited

A knotted 2-dimensional foam with non-trivial cocycle invariant

J. Scott Carter, Atsushi Ishii

By 2-twist-spinning the knotted graph that represents the knotted handlebody $5_{2}$ , we obtain a knotted foam in 4-dimensional space with a non-trivial quandle cocycle invariant.

math.GT2012★ 3 cited

A $G$ -family of quandles and handlebody-knots

Atsushi Ishii, Masahide Iwakiri, Yeonhee Jang +1

We introduce the notion of a $G$ -family of quandles which is an algebraic system whose axioms are motivated by handlebody-knot theory, and use it to construct invariants for handle…

A knotted 2-dimensional foam with non-trivial cocycle invariant

A G-family of quandles and handlebody-knots

A $G$ -family of quandles and handlebody-knots