Integrality Properties of Open-Closed Mirror Maps
Jian Zhou
TL;DR
This paper conjectures an integrality property of open-closed mirror maps in compact Calabi-Yau manifolds and provides some illustrative examples.
Contribution
It introduces a new conjecture regarding the integrality of open-closed mirror maps and presents initial examples supporting this conjecture.
Findings
Examples suggest the conjecture holds in certain cases
Provides initial evidence for the integrality property
Lays groundwork for future proofs
Abstract
We propose a conjecture on integrality property of the open-closed mirror maps of compact Calabi-Yau manifolds. Some examples are presented.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows