3 papers
math.GT2025
A cusped hyperbolic 4-manifold without spin structures
Stefano Riolo, Edoardo Rizzi
We build a non-compact, orientable, hyperbolic four-manifold of finite volume that does not admit any spin structure.
math.GT2024
Cusp-transitive 4-manifolds with every cusp section
Jacopo Guoyi Chen, Edoardo Rizzi
We realize every closed flat 3-manifold as a cusp section of a complete, finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps. Moreover, f…
math.GT2024
Some cusp-transitive hyperbolic 4-manifolds
Edoardo Rizzi
We realize 4 of the 6 closed orientable flat 3-manifolds as a cusp section of an orientable finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of…