Year: 2016
Type: article
Abstract: Complex Hantzsche-Wendt manifolds are flat Kähler manifolds with holonomy group $${{\mathrm{\mathbb {Z}}}}_2^{n-1}\subset SU(n)$$ . They are important examples of Calabi-Yau manifolds of abelian type. In this paper we describe them as quotients of a product of elliptic curves by a finite group $$\tilde{G}$$ . This will allow us to classify all possible integral holonomy representations and give an algorithm classifying their diffeomorphism types.
Source: Geometriae Dedicata
Author: Marek Hałenda
Institution: University of Gdańsk
Language: Latin
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,090
OpenAlex ID: W2236611670