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Oriented Quantum Algebras, Categories and Invariants of Knots and Links

2000/06/03 by Louis H. Kauffman, Kauffman, Louis H., David E. Radford +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric Topology (math.GT) #math.CT #math.GT

paper · pdf · doi:10.48550/arxiv.math/0006019

LateX document, 47 pages, 21 figures

arxiv created 2000/06/03 · openalex publication_date 2000/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper defines the concept of an oriented quantum algebra and develops its application to the construction of quantum link invariants. We show that all known quantum link invariants can be put into this framework.

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