29 citations · 59 across the 7 of their papers we have counts for
7 papers
Compact n-manifolds via (n+1)-colored graphs: a new approach
Luigi Grasselli, Michele Mulazzani
We introduce a representation via (n+1)-colored graphs of compact n-manifolds with (possibly empty) boundary, which appears to be very convenient for computer aided study and tabul…
Combinatorial properties of the G-degree
Maria Rita Casali, Luigi Grasselli
A strong interaction is known to exist between edge-colored graphs (which encode PL pseudo-manifolds of arbitrary dimension) and random tensor models (as a possible approach to the…
G-degree for singular manifolds
Maria Rita Casali, Paola Cristofori, Luigi Grasselli
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 o…
Topology in colored tensor models via crystallization theory
Maria Rita Casali, Paola Cristofori, Stephane Dartois +1
The aim of this paper is twofold. On the one hand, it provides a review of the links between random tensor models, seen as quantum gravity theories, and the PL-manifolds representa…
Seifert manifolds and (1,1)-knots
Luigi Grasselli, Michele Mulazzani
The aim of this paper is to investigate the relations between Seifert manifolds and (1,1)-knots. In particular, we prove that every orientable Seifert manifold with invariants {Oo,…
2-symmetric transformations for 3-manifolds of genus two
Luigi Grasselli, Michele Mulazzani, Roman Nedela
As previously known, all 3-manifolds of genus two can be represented by edge-coloured graphs uniquely defined by 6-tuples of integers satisfying simple conditions. The present pape…