29 citations · 147 across the 23 of their papers we have counts for
25 papers
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…
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…
Trisections of PL 4-manifolds arising from colored triangulations
Maria Rita Casali, Paola Cristofori
The purpose of the present paper is twofold: firstly to extend to non-orientable compact 4-manifolds the notion of gem-induced trisection, directly obtained from colored triangulat…
Kirby diagrams and 5-colored graphs representing compact 4-manifolds
Maria Rita Casali, Paola Cristofori
It is well-known that in dimension 4 any framed link uniquely represents the PL 4-manifold obtained from by adding 2-handles along . Moreove…
Compact 4-manifolds admitting special handle decompositions
Maria Rita Casali, Paola Cristofori
In this paper we study colored triangulations of compact PL 4-manifolds with empty or connected boundary which induce handle decompositions lacking in 1-handles or in 1- and 3-hand…
Crystallizations of compact 4-manifolds minimizing combinatorially defined PL-invariants
Maria Rita Casali, Paola Cristofori, Carlo Gagliardi
The present paper is devoted to present a unifying survey about some special classes of crystallizations of compact PL -manifolds with empty or connected boundary, called {\it s…