Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Cristofori, Paola"'
Autor:
Casali, Maria Rita, Cristofori, Paola
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 triangulations (or, equivalently, from colored graphs encoding them, called gems
Externí odkaz:
http://arxiv.org/abs/2312.01902
Autor:
Casali, Maria Rita, Cristofori, Paola
It is well-known that in dimension 4 any framed link $(L,c)$ uniquely represents the PL 4-manifold $M^4(L,c)$ obtained from $\mathbb D^4$ by adding 2-handles along $(L,c)$. Moreover, if trivial dotted components are also allowed (i.e. in case of a Ki
Externí odkaz:
http://arxiv.org/abs/2101.10661
Autor:
Casali, Maria Rita, Cristofori, Paola
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-handles, thus facing also the problem, posed by Kirby, of the existence of
Externí odkaz:
http://arxiv.org/abs/2008.11485
Publikováno v:
Rend. Istit. Mat. Univ. Trieste Volume 52 (2020), 1-28 (electronic preview)
The present paper is devoted to present a unifying survey about some special classes of crystallizations of compact PL $4$-manifolds with empty or connected boundary, called {\it semi-simple} and {\it weak semi-simple crystallizations}, with a partic
Externí odkaz:
http://arxiv.org/abs/2004.07894
Autor:
Casali, Maria Rita, Cristofori, Paola
The idea of studying trisections of closed smooth $4$-manifolds via (singular) triangulations, endowed with a suitable vertex-labelling by three colors, is due to Bell, Hass, Rubinstein and Tillmann, and has been applied by Spreer and Tillmann to col
Externí odkaz:
http://arxiv.org/abs/1910.08777
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 manifold
Externí odkaz:
http://arxiv.org/abs/1706.07267
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 representation by means of edge-colored graphs (crystallization theory). On the
Externí odkaz:
http://arxiv.org/abs/1704.02800
Publikováno v:
Revista Matematica Iberoamericana, 33(1) (2017), 183-194
A Klein surface is a surface with a dianalytic structure. A double of a Klein surface $X$ is a Klein surface $Y$ such that there is a degree two morphism (of Klein surfaces) $Y\rightarrow X$. There are many doubles of a given Klein surface and among
Externí odkaz:
http://arxiv.org/abs/1404.0958
Autor:
Casali, Maria Rita, Cristofori, Paola
Publikováno v:
Forum Mathematicum 27 (6) (2015), 3173-318
Within crystallization theory, (Matveev's) complexity of a 3-manifold can be estimated by means of the combinatorial notion of GM-complexity. In this paper, we prove that the GM-complexity of any lens space L(p,q), with p greater than 2, is bounded b
Externí odkaz:
http://arxiv.org/abs/1309.5728
Autor:
Cristofori, Paola, Mulazzani, Michele
Publikováno v:
RACSAM 110(2) (2016), 395-416
We introduce a representation of compact 3-manifolds without spherical boundary components via (regular) 4-colored graphs, which turns out to be very convenient for computer aided study and tabulation. Our construction is a direct generalization of t
Externí odkaz:
http://arxiv.org/abs/1304.5070