Diffeomorphism classes of Calabi-Yau varieties
Gilberto Bini, Donatella Iacono
TL;DR
This paper studies the classification of Calabi-Yau threefolds up to diffeomorphism, especially those embedded in toric Fano manifolds, and explores implications for mirror symmetry.
Contribution
It provides new insights into the diffeomorphism classes of Calabi-Yau threefolds within toric Fano manifolds and discusses their relation to mirror symmetry.
Findings
Examples of diffeomorphism classes of Calabi-Yau threefolds
Connections between diffeomorphism classes and mirror symmetry
Curious remark on mirror symmetry implications
Abstract
In this article we investigate diffeomorphism classes of Calabi-Yau threefolds. In particular, we focus on those embedded in toric Fano manifolds. Along the way, we give various examples and conclude with a curious remark regarding mirror symmetry.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology