The Fundamental Group of a Spatial Section Represented by a Topspin Network

Abstract

We present an algorithm which determines the fundamental group of a spatial section using topspin networks. Tracking the topology of the spatial section is a unique feature of this approach, which is not possible in standard Loop Quantum Gravity. This leads to an example of spatial topology change in a smooth 4-manifold represented by a topspin foam.

Based on work presented at the LOOPS 13 conference at the Perimeter Institute

References in corpus (4)

• U(N) tools for Loop Quantum Gravity: The Return of the Spinor
• Probing Loop Quantum Gravity with Evaporating Black Holes
• Coverings, correspondences, and noncommutative geometry
• Topology change in classical and quantum gravity

Cited by in corpus (1)

• Braids, 3-manifolds, elementary particles: number theory and symmetry in particle physics