On Free Quotients of Complete Intersection Calabi-Yau Manifolds
Volker Braun
TL;DR
This paper classifies free quotients of complete intersection Calabi-Yau threefolds in products of projective spaces using computational methods to identify automorphisms that act freely on these manifolds.
Contribution
It provides a systematic classification of automorphisms leading to free quotients, expanding the known examples of non-simply connected Calabi-Yau threefolds.
Findings
Identified all automorphisms inducing free actions on the manifolds
Classified new non-simply connected Calabi-Yau examples
Developed computational tools for automorphism detection
Abstract
In order to find novel examples of non-simply connected Calabi-Yau threefolds, free quotients of complete intersections in products of projective spaces are classified by means of a computer search. More precisely, all automorphisms of the product of projective spaces that descend to a free action on the Calabi-Yau manifold are identified.
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