most citedGeneralizations of Quandle Cocycle Invariants and Alexander Modules from Quandle Modules

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2005★ 2 cited

Set Theoretic Yang-Baxter Solutions via Fox Calculus

J. Scott Carter, Masahico Saito

We construct solutions to the set-theoretic Yang-Baxter equation using braid group representations in free group automorphisms and their Fox differentials. The method resembles the…

math.GT2005

A lower bound for the number of Reidemeister moves of type III

J. Scott Carter, Mohamed Elhamdadi, Masahico Saito +1

We study the number of Reidemeister type III moves using Fox n-colorings of knot diagrams.

math.GT2004★ 3 cited

Generalizations of Quandle Cocycle Invariants and Alexander Modules from Quandle Modules

J. Scott Carter, Masahico Saito

This paper is a brief overview of some of our recent results in collaboration with other authors. The cocycle invariants of classical knots and knotted surfaces are summarized, and…