Quantum Invariants of Templates

Authors

Louis H. Kauffman, University of Illinois at Chicago
Masahico Saito, University of South Florida
Michael C. Sullivan, Southern Illinois University CarbondaleFollow

Comments

Electronic version of an article published as "Quantum Invariants of Templates," Journal of Knot Theory and Its Ramifications (JKTR), 5(12), 2003, 653 -681. DOI: 10.1142/S021821650300269X © copyright World Scientific Publishing Company, http://www.worldscinet.com/jktr/jktr.shtml

Abstract

We define invariants for templates that appear in certain dynamical systems. Invariants are derived from certain bialgebras. Diagrammatic relations between projections of templates and the algebraic structures are used to define invariants. We also construct 3-manifolds via framed links associated to tamplate diagrams, so that any 3-manifold invariant can be used as a template invariant.

Recommended Citation

Kauffman, Louis H., Saito, Masahico and Sullivan, Michael C. "Quantum Invariants of Templates." (Aug 2003).