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Invariants of Braided Ribbon Networks

2011/06/25 by Jonathan Hackett, Hackett, Jonathan
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1106.5096

11 pages, 17 figures

arxiv created 2011/06/25 · arxiv updated 2011/06/28

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.

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