CLASSIFICATION OF SPIN STRUCTURES ON FOUR‐DIMENSIONAL ALMOST‐FLAT MANIFOLDS

DOI10.1112/S0025579317000560zbMath1390.53048arXiv1701.03920OpenAlexW3099641686MaRDI QIDQ4604500

Rafał Lutowski, Andrzej Szczepański, Nansen Petrosyan

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03920

zbMATH Keywords

almost-flat manifoldsinfra-nil manifoldsspin structures on four-folds

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66) Computational aspects in algebraic geometry (14Q99)

Related Items

Intersection forms of almost-flat 4-manifolds

Uses Software

• GAP
• AClib

Cites Work

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• Clifford modules
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• Geometry of Crystallographic Groups
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• Existence of spin structures on flat four-manifolds
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• Characteristic Classes. (AM-76)
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• Almost flat manifolds
• Almost flat manifolds
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• The Dirac spectrum of Bieberbach manifolds