G-degree for singular manifolds
Geometric Topology
2017-12-18 v2 Mathematical Physics
math.MP
Abstract
The G-degree of colored graphs is a key concept in the approach to Quantum Gravity via tensor models. The present paper studies the properties of the G-degree for the large class of graphs representing singular manifolds (including closed PL manifolds). In particular, the complete topological classification up to G-degree 6 is obtained in dimension 3, where all 4-colored graphs represent singular manifolds.
Cite
@article{arxiv.1706.07267,
title = {G-degree for singular manifolds},
author = {Maria Rita Casali and Paola Cristofori and Luigi Grasselli},
journal= {arXiv preprint arXiv:1706.07267},
year = {2017}
}
Comments
14 pages, 1 figure; improvements suggested by referees. Published online 24 October 2017 in RACSAM