Almost-crystallographic subgroups of \(B_n/\Gamma_3(P_n)\) and infra-nilmanifolds with cyclic holonomy

DOI10.1016/j.topol.2020.107563OpenAlexW3114233183MaRDI QIDQ2661714

Oscar Ocampo, José Gregorio Rodríguez-Nieto

Publication date: 7 April 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107563

zbMATH Keywords

spin structurebraid groupalmost-crystallographic groupinfra-nilmanifoldalmost-Bieberbach group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Other geometric groups, including crystallographic groups (20H15) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Cites Work

• Unnamed Item
• Spin structures on almost-flat manifolds
• A quotient of the Artin braid groups related to crystallographic groups
• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• The lower central series of a fiber-type arrangement
• The topology of 4-manifolds
• Almost-crystallographic groups as quotients of Artin braid groups
• On Bieberbach subgroups of \(B _n/[P _n,P _n\) and flat manifolds with cyclic holonomy \(\mathbb{Z}_{2^d}\)]
• Almost-Bieberbach groups: affine and polynomial structures
• Theory of braids
• Spin Structures on Flat Manifolds with Cyclic Holonomy
• Almost flat manifolds
• Almost flat manifolds

This page was built for publication: Almost-crystallographic subgroups of \(B_n/\Gamma_3(P_n)\) and infra-nilmanifolds with cyclic holonomy