Mirror Kaehler potential on Calabi-Yau threefolds
Dmitry V. Egorov
TL;DR
This paper introduces a mirror Kaehler potential on Calabi-Yau threefolds, enabling the determination of complex structures through differentiation, complementing the classical Kaehler potential's role in symplectic structures.
Contribution
It defines a new mirror Kaehler potential on Calabi-Yau threefolds, providing a novel tool to determine complex structures from real-valued functions.
Findings
Defined a mirror Kaehler potential (MKP) on Calabi-Yau threefolds.
Demonstrated MKP's ability to determine complex structures.
Complemented classical Kaehler potential with a mirror concept.
Abstract
The classical Kaehler potential is a real-valued function (KP) such that one can determine a Kaehler (symplectic) structure by differentiating KP. We define a mirror Kaehler potential on Calabi-Yau 3-folds, a real-valued function (MKP) such that one can determine a complex structure by differentiating MKP.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology