G-degree for singular manifolds

Maria Rita Casali; Paola Cristofori; Luigi Grasselli

doi:10.1007/s13398-017-0456-x

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arXiv · 1706.07267

G-degree for singular manifolds

Maria Rita Casali·Paola Cristofori·Luigi Grasselli

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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.

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BibTeX RIS

Maria Rita Casali, Paola Cristofori, Luigi Grasselli. 2017-12-15. G-degree for singular manifolds. https://doi.org/10.1007/s13398-017-0456-x

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