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Quandle Homology Theory and Cocycle Knot Invariants

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(2001)cite arxiv:math/0112026 Comment: This is a survey article in recent results on the invariants of knots and knotted surfaces derived from quandle homology.

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.

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