2 papers
math.GT2019
Compact hyperbolic manifolds without spin structures
Bruno Martelli, Stefano Riolo, Leone Slavich
We exhibit the first examples of compact orientable hyperbolic manifolds that do not have any spin structure. We show that such manifolds exist in all dimensions . The co…
math.GT2018
Many cusped hyperbolic 3-manifolds do not bound geometrically
Alexander Kolpakov, Alan W. Reid, Stefano Riolo
In this note, we show that there exist cusped hyperbolic -manifolds that embed geodesically, but cannot bound geometrically. Thus, being a geometric boundary is a non-trivial pr…