Spin Structures on Flat Manifolds with Cyclic Holonomy

DOI10.1080/00927870701649200zbMath1201.57017OpenAlexW1997354950MaRDI QIDQ5444881

Gerhard Hiss, Andrzej Szczepański

Publication date: 26 February 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701649200

zbMATH Keywords

Spin structuresflat manifoldcyclic holonomy

Mathematics Subject Classification ID

Integral representations of finite groups (20C10) Other geometric groups, including crystallographic groups (20H15) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (6)

GEOMETRY OF SPIN ANDSPIN^cSTRUCTURES IN THE M-THEORY PARTITION FUNCTION ⋮ Almost-crystallographic subgroups of \(B_n/\Gamma_3(P_n)\) and infra-nilmanifolds with cyclic holonomy ⋮ Flat manifolds with holonomy group \(\mathbb{Z}_{2}^{k}\) of diagonal type ⋮ Existence of spin structures on flat four-manifolds ⋮ Spin structures on flat manifolds ⋮ Corrigendum to: Spin Structures on Flat Manifolds with Cyclic Holonomy

Uses Software

• GAP

Cites Work

• Bieberbach groups and flat manifolds
• Real characters, double covers, and the multiplier
• Compact flat manifolds with non-vanishing Stiefel-Whitney classes
• Spin structures and spectra of \(\mathbb{Z}_2^k\)-manifolds
• Spin structures on flat manifolds
• Primitive compact flat manifolds with holonomy group \(\mathbb Z_ 2\oplus \mathbb Z_ 2\).
• Unnamed Item

This page was built for publication: Spin Structures on Flat Manifolds with Cyclic Holonomy