Cohomological rigidity of oriented Hantzsche-Wendt manidolds
Algebraic Topology
2016-10-06 v3
Abstract
By Hantzsche-Wendt manifold (for short HW-manifold) we understand any oriented closed Riemannian manifold of dimension n with a holonomy group (Z_2)^{n-1}. Two HW-manifolds M_1 and M_2 are cohomological rigid if and only if a homeomorphism between M_1 and M_2 is equivalent to an isomorphism of graded rings H^{*}(M_1,F_2) and H^{*}(M_2,F_2). We prove that HW-manifolds are cohomological rigid.
Keywords
Cite
@article{arxiv.1303.2807,
title = {Cohomological rigidity of oriented Hantzsche-Wendt manidolds},
author = {Jerzy Popko and Andrzej Szczepanski},
journal= {arXiv preprint arXiv:1303.2807},
year = {2016}
}
Comments
Crucial changes after referee report plus correction of misprints