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Spin(C) structures on Hantzsche-Wendt manifolds

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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 greater than three admits a spin(c) structure. (c) 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Flat manifoldHantzsche-Wendt manifoldSpin structureSpin(C) strutureFLAT MANIFOLDS

Szczepanski, A.、Lutowski, R.、Popko, J.

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Univ Gdansk

2022

Journal of geometry and physics

Journal of geometry and physics

SCI
ISSN:0393-0440
年,卷(期):2022.171
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