Invariants of Braided Ribbon Networks
Mathematical Physics
2011-06-28 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We present a consistent definition for braided ribbon networks in 3-dimensional manifolds, unifying both three and four valent networks in a single framework. We present evolution moves for these networks which are dual to the Pachner moves on simplices and present an invariant of this evolution. Finally we relate these results back to previous work in the subject.
Keywords
Cite
@article{arxiv.1106.5096,
title = {Invariants of Braided Ribbon Networks},
author = {Jonathan Hackett},
journal= {arXiv preprint arXiv:1106.5096},
year = {2011}
}
Comments
11 pages, 17 figures