66 citations · 232 across the 47 of their papers we have counts for
4 papers · 2 filters
Reidemeister/Roseman-type Moves to Embedded Foams in 4-dimensional Space
J. Scott Carter
The dual to a tetrahedron consists of a single vertex at which four edges and six faces are incident. Along each edge, three faces converge. A 2-foam is a compact topological space…
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 , we obtain a knotted foam in 4-dimensional space with a non-trivial quandle cocycle invariant.
Braids and branched coverings of dimension three
J. Scott Carter, Seiichi Kamada
We study simple branched coverings of degree d of the 2- and 3- dimensional sphere branched over oriented links. We demonstrate how to use braid charts to develop embeddings of the…
Classical Knot Theory
J. Scott Carter
This paper is a very brief introduction to knot theory. It describes knot coloring by quandles, the fundamental group of a knot complement, and handle-decompositions of knot comple…