3 papers
math.GT2026
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…
math.GT2025
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…
math.GT2025
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…