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arXiv:1303.2807math.AT

Cohomological rigidity of oriented Hantzsche-Wendt manidolds

Jerzy Popko, Andrzej Szczepanski

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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.

arXiv comments
Crucial changes after referee report plus correction of misprints
Journal reference
Adv. Math. 302 (2016) 1044 - 1068
DOI
Subjects
math.ATAlgebraic Topology

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