The smallest hyperbolic 6-manifolds
arXiv:math/0410474
Abstract
By gluing together copies of an all-right angled Coxeter polytope a number of open hyperbolic 6-manifolds with Euler characteristic -1 are constructed. They are the first known examples of hyperbolic 6-manifolds having the smallest possible volume.
More details added in the last section. To appear in Electronic Research Announcements of the AMS