4 papers
Geometrisation of 3-manifolds
Bruno Martelli
The geometrisation theorem of 3-manifolds was conjectured by Thurston the 1980s and proved by Perelman in the 2000s. This is an overview on the subject. We explain the content of t…
An introduction to Coxeter polyhedra
Bruno Martelli
This paper is an introduction to Coxeter polyhedra in spherical, Euclidean, and hyperbolic geometries. It consists of essentially two parts that could be read independently. In the…
A 4-dimensional pseudo-Anosov homeomorphism
Bruno Martelli
We know from previous work with Italiano and Migliorini that there exists some hyperbolic 5-manifold that fibers over the circle. Here we build one example where the monodromy is a…
Adjunction inequalities and the Davis hyperbolic four-manifold
Francesco Lin, Bruno Martelli
The Davis hyperbolic four-manifold is not almost-complex, so that its Seiberg-Witten invariants corresponding to zero-dimensional moduli spaces are vanishing by defin…