Quantum Invariants of Templates
Document Type
Article
Publication Date
2003
Keywords
Templates, quantum invariants, bialgebras, framed links
Digital Object Identifier (DOI)
https://doi.org/10.1142/S021821650300269X
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.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Journal of Knot Theory and Its Ramifications, v. 12, issue 5, p. 653-681
Scholar Commons Citation
Kauffman, Louis H.; Saito, Masahico; and Sullivan, Michael C., "Quantum Invariants of Templates" (2003). Mathematics and Statistics Faculty Publications. 131.
https://digitalcommons.usf.edu/mth_facpub/131
