12 citations · 41 across the 17 of their papers we have counts for
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Complex Vasquez invariant
Anna Gąsior, Rafał Lutowski
In 1970 Vasquez proved that to every finite group we can assign a natural number with the property that every flat manifold with holonomy is a total space of a fiber…
Spin structures on Hantzsche-Wendt manifolds
Rafał Lutowski, Jerzy Popko, Andrzej Szczepański
Using a combinatorial description of Stiefel-Whitney classes of closed flat manifolds with diagonal holonomy representation, we show that no Hantzsche-Wendt manifold of dimension g…
Classification of spin structures on 4-dimensional almost-flat manifolds
Rafał Lutowski, Nansen Petrosyan, Andrzej Szczepański
Almost-flat manifolds were defined by Gromov as a natural generalisation of flat manifolds and as such share many of their properties. Similarly to flat manifolds, it turns out tha…
Spin structures of flat manifolds of diagonal type
Rafał Lutowski, Nansen Petrosyan, Jerzy Popko +1
For each integer at least two, we construct non-spin closed oriented flat manifolds with holonomy group and with the property that all of their finite proper co…