Spin structures on low dimensional flat manifolds

Published: 23 May 2025| Version 1 | DOI: 10.17632/4hszps5npx.1
Contributor:
Rafał Lutowski

Description

This dataset contains results of calculations of spin structures on flat manifolds in dimensions up to 6, described in R. Lutowski and B. Putrycz. Spin structures on flat manifolds. J. Algebra, 436:277--291, 2015. The data are stored in JSON format. Every element includes the following fields: - name: a CARAT name of a Bieberbach group - holonomy: structure description of its holonomy (point) group - orientable: whether it is orientable In addition, if orientable is "true", the information connected to calculation of spin structures is provided: - s2name: a CARAT name of a maximal subgroup with 2-group holonomy - spin: number of spin structures

Files

Steps to reproduce

Detailed instruction on how to reproduce the results is given in the GitHub repository.

Institutions

Uniwersytet Gdanski

Categories

Mathematics, Geometry, Computational Mathematics, Algebra, Algebraic Topology

Funding

National Science Center

2013/09/B/ST1/04125

Licence