Tangent bundles of Hantzsche-Wendt manifolds

2012/06/22 by Gąsior, Anna, Szczepański, Andrzej
#20H15 #53C27 #53C29 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1206.5094

Abstract

We formulate a condition for an existence of a Spin^C - structure on an oriented at manifold Mⁿ with H²(Mn;R) = 0. As an application we shall prove that all cyclic Hantzsche - Wendt manifolds have not the Spin^C-structure.

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