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math-phJun 25, 2011
5
citations (OpenAlex)
authors
  • Jonathan Hackett
arXiv abstractPDF
paper

Invariants of Braided Ribbon Networks

arXiv:1106.5096

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.

11 pages, 17 figures

References in corpus (11)

  • Quantum gravity with a positive cosmological constant
  • Quantum geometry with intrinsic local causality
  • A topological model of composite preons
  • Propagation and interaction of chiral states in quantum gravity
  • Particle Identifications from Symmetries of Braided Ribbon Network Invariants
  • On Braid Excitations in Quantum Gravity
  • C, P, and T of Braid Excitations in Quantum Gravity
  • Conserved Quantities and the Algebra of Braid Excitations in Quantum Gravity
  • Effective Theory of Braid Excitations of Quantum Geometry in terms of Feynman Diagrams
  • Conserved Topological Defects in Non-Embedded Graphs in Quantum Gravity
  • Infinite Degeneracy of States in Quantum Gravity

Cited by in corpus (4)

  • Emergent Braided Matter of Quantum Geometry
  • Invariants of Spin Networks from Braided Ribbon Networks
  • Quantum Error Correction in Loop Quantum Gravity
  • Elementary Particles as Gates for Universal Quantum Computation
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