Oriented Quantum Algebras and Invariants of Knots and Links

Details Oriented Quantum Algebras and Invariants of Knots and Links Oriented Quantum Algebras and Invariants of Knots and Links

2000-06-03

arxiv.org/abs/math/0006020v1

Mathematics

Geometric Topology

LAteX document, 45 pages, 17 figures

Scientific paper

In GT/0006019 oriented quantum algebras were motivated and introduced in a natural categorical setting. Invariants of knots and links can be computed from oriented quantum algebras, and this includes the Reshetikhin-Turaev theory for Ribbon Hopf algebras. Here we continue the study of oriented quantum algebras from a more algebraic perspective, and develop a more detailed theory for them and their associated invariants.

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