Special Lagrangian fibrations, wall-crossing, and mirror symmetry
Denis Auroux
TL;DR
This survey explores the SYZ approach to mirror symmetry for non-Calabi-Yau varieties, emphasizing Lagrangian fibrations and wall-crossing phenomena in Floer homology, with new examples provided.
Contribution
It provides a comprehensive review of the SYZ approach for non-Calabi-Yau varieties, highlighting wall-crossing phenomena and introducing new examples.
Findings
Review of Lagrangian fibrations in mirror symmetry
Analysis of wall-crossing phenomena in Floer homology
Presentation of new examples in the context of SYZ
Abstract
In this survey paper, we briefly review various aspects of the SYZ approach to mirror symmetry for non-Calabi-Yau varieties, focusing in particular on Lagrangian fibrations and wall-crossing phenomena in Floer homology. Various examples are presented, some of them new.
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