Lagrangian torus fibrations and homological mirror symmetry for the conifold
Kwokwai Chan, Daniel Pomerleano, Kazushi Ueda
TL;DR
This paper explores the homological mirror symmetry of the conifold using the Strominger-Yau-Zaslow conjecture, linking complex and symplectic geometry through Lagrangian torus fibrations.
Contribution
It provides a new perspective on the conifold's mirror symmetry by applying the SYZ conjecture to Lagrangian torus fibrations.
Findings
Establishes a connection between the conifold's geometry and mirror symmetry.
Uses the SYZ conjecture to analyze the conifold's Lagrangian torus fibrations.
Offers insights into the geometric structures underlying mirror symmetry for the conifold.
Abstract
We discuss homological mirror symmetry for the conifold from the point of view of the Strominger-Yau-Zaslow conjecture.
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