Abstract:
We enumerate the equivalence classes of finite-sheeted coverings of
Hantzsche–Wendt manifold. This manifold is the most complicated of
the closed flat 3-manifolds, and occurs often in low-dimensional
topology. This is a joint result with
A.D. Mednykh. Also we are going to give a brief overview of associated
classical results, including the classification of closed flat
3-manifolds up to affine equivalence.