English

Oriented Quantum Algebras and Invariants of Knots and Links

Geometric Topology 2007-05-23 v1 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.math/0006020,
  title  = {Oriented Quantum Algebras and Invariants of Knots and Links},
  author = {Louis H. Kauffman and David E. Radford},
  journal= {arXiv preprint arXiv:math/0006020},
  year   = {2007}
}

Comments

LAteX document, 45 pages, 17 figures