66 citations · 276 across the 61 of their papers we have counts for
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math.GT2004★ 1 cited
Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers
J. Scott Carter, Masahico Saito, Shin Satoh
We prove that a crossing change along a double point circle on a 2-knot is realized by ribbon-moves for a knotted torus obtained from the 2-knot by attaching a 1-handle. It follows…
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…