TL;DR
This survey explains how Seidel's approach to homological mirror symmetry, based on versality at the large volume and complex structure limits, makes mirror symmetry predictions more rigorous and accessible to proof.
Contribution
It clarifies how versality in Seidel's framework provides a systematic way to understand and prove mirror symmetry predictions.
Findings
Seidel's approach formalizes mirror symmetry via versality.
Versality simplifies the proof of mirror symmetry predictions.
The survey connects theoretical concepts with practical proof strategies.
Abstract
One of the attractions of homological mirror symmetry is that it not only implies the previous predictions of mirror symmetry (e.g., curve counts on the quintic), but it should in some sense be `less of a coincidence' than they are and therefore easier to prove. In this survey we explain how Seidel's approach to mirror symmetry via versality at the large volume/large complex structure limit makes this idea precise.
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.