English

Tangent bundles of Hantzsche-Wendt manifolds

Algebraic Topology 2013-06-04 v8

Abstract

We formulate a condition for an existence of a SpinCSpin^C - structure on an oriented at manifold MnM^n with H2(Mn;R)=0H^2(Mn;R) = 0. As an application we shall prove that all cyclic Hantzsche - Wendt manifolds have not the SpinCSpin^C-structure.

Keywords

Cite

@article{arxiv.1206.5094,
  title  = {Tangent bundles of Hantzsche-Wendt manifolds},
  author = {Anna Gąsior and Andrzej Szczepański},
  journal= {arXiv preprint arXiv:1206.5094},
  year   = {2013}
}