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 4manifold represented by a topspin foam.
 Publication:

arXiv eprints
 Pub Date:
 August 2013
 arXiv:
 arXiv:1308.2934
 Bibcode:
 2013arXiv1308.2934D
 Keywords:

 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Mathematics  General Topology;
 83C27;
 54H99;
 81V17
 EPrint:
 Based on work presented at the LOOPS 13 conference at the Perimeter Institute