Generalizations of Quandle Cocycle Invariants and Alexander Modules from Quandle Modules

Abstract

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 some applications are presented.

Survey article submitted to the Conference ``Intellegence of Low Dimensional Topology,'' Shodo Shima, Japan 2003