---
created: 2022-03-26T01:49
updated: 2023-03-31T19:08
title: "homological mirror symmetry"
aliases: [homological mirror symmetry, HMS]
---

---

- Tags 
	- #todo/untagged
- Refs:
	- 2016 CMSA Workshop: <https://cmsa.fas.harvard.edu/mini-workshop-on-syz-and-homological-mirror-symmetry/> #resources/talks #resources/videos 
- Links:
	- [moment polytope](moment%20polytope)
	- [Floer homology](Unsorted/Lagrangian%20Floer%20homology.md)
	- [mirror symmetry](mirror%20symmetry.md)

---

# homological mirror symmetry


![](attachments/Pasted%20image%2020220326014953.png)
![](attachments/Pasted%20image%2020220326015013.png)

# Examples

The mirror of $\CP^n$ is a [Lefschetz fibration](Unsorted/Lefschetz%20fibration.md):
![](attachments/Pasted%20image%2020220430185451.png)

A full application of the usefulness of the [Fukaya category](Unsorted/Fukaya%20category.md):
![](attachments/Pasted%20image%2020220430185646.png)