Quandle Homology Theory and Cocycle Knot Invariants

Abstract

This paper is a survey of several papers in quandle homology theory and cocycle knot invariants that have been published recently. Here we describe cocycle knot invariants that are defined in a state-sum form, quandle homology, and methods of constructing non-trivial cohomology classes.

This is a survey article in recent results on the invariants of knots and knotted surfaces derived from quandle homology