100 citations · 222 across the 43 of their papers we have counts for
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3-Manifolds with complexity at most 9
Bruno Martelli, Carlo Petronio
We describe an algorithm which has enabled us to give a complete list, without repetitions, of all closed oriented irreducible 3-manifolds of complexity up to 9. More interestingly…
Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4
Roberto De Pietri, Carlo Petronio
The problem of constructing a quantum theory of gravity has been tackled with very different strategies, most of which relying on the interplay between ideas from physics and from…
Reidemeister Torsion of 3-Dimensional Euler Structures with Simple Boundary Tangency and Pseudo-Legendrian Knots
Riccardo Benedetti, Carlo Petronio
We generalize Turaev's definition of torsion invariants of pairs (M,x), where M is a 3-dimensional manifold and x is an Euler structure on M (a non-singular vector field up to homo…
Combed 3-Manifolds with Concave Boundary, Framed Links, and Pseudo-Legendrian Links
Riccardo Benedetti, Carlo Petronio
We provide combinatorial realizations, according to the usual objects/moves scheme, of the following three topological categories: (1) pairs (M,v) where M is a 3-manifold (up to di…