4 papers
The conformal geometry of Random Regge Triangulations
M. Carfora, C. Dappiaggi, A. Marzuoli
We review some of our recent work on the conformal geometry corresponding to the triangulated surfaces used in 2-dimensional simplicial quantum gravity. In particular, we discuss t…
Conformal modes in simplicial quantum gravity and the Weil-Petersson volume of moduli space
Mauro Carfora, Annalisa Marzuoli
Our goal here is to present a detailed analysis connecting the anomalous scaling properties of 2D simplicial quantum gravity to the geometry of the moduli space M_{g,N} of genus g…
Moduli space intersection duality between Regge surfaces and 2D dynamical triangulations
Mauro Carfora, Annalisa Marzuoli, Paolo Villani
Deformation theory for 2-dimensional dynamical triangulations with N vertices is discussed by exploiting the geometry of the moduli space of Euclidean polygons. Such an analysis pr…
Invariants of spin networks with boundary in Quantum Gravity and TQFT's
Gaspare Carbone, Mauro Carfora, Annalisa Marzuoli
The search for classical or quantum combinatorial invariants of compact n-dimensional manifolds (n=3,4) plays a key role both in topological field theories and in lattice quantum g…