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math.GT2025
Estimating trisection genus via gem theory
Maria Rita Casali, Paola Cristofori
Gems are a particular type of edge-colored graphs, dual to colored triangulations, which represent compact PL-manifolds of arbitrary dimension, both in the closed and boundary case…
math.GT2025
Kirby diagrams, trisections and gems of PL 4-manifolds: relationships, results and open problems
Maria Rita Casali, Paola Cristofori
We review the main achievements regarding the interactions between gem theory (which makes use of edge-colored graphs to represent PL-manifolds of arbitrary dimension) and both the…