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

2013/08/13 by Christopher L Duston, Duston, Christopher L · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #54H99 #81V17 #83C27 #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General Topology (math.GN) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Topological and Geometric Data Analysis #gr-qc #math-ph #math.GN #math.MP #msc:54H99 #msc:81V17 #msc:83C27

paper · pdf · doi:10.48550/arxiv.1308.2934

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

arxiv created 2013/08/13 · openalex publication_date 2013/08/13 · arxiv updated 2013/08/14 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

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.

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