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math.GT2000
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…
math.GT2000
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…
math.GT2000
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…