---
date: 2022-04-05 23:42
modification date: Tuesday 5th April 2022 23:42:25
title: "line bundle"
aliases: [line bundle, line bundles, locally free sheaf]
---

Last modified date: <%+ tp.file.last_modified_date() %>

---
- Tags: 
	- #AG
- Refs:
	- #todo/add-references
- Links:
	- [splitting principle](Unsorted/splitting%20principle.md)
	- [sheaf cohomology](Unsorted/sheaf%20cohomology.md)

---

# line bundle
![](attachments/Pasted%20image%2020220905155320.png)

![](attachments/Pasted%20image%2020220809123724.png)


- A [rank](rank) 1 bundle.
- Can define **metrics** and [curvature](curvature.md) forms on line bundles 
- [See Padma's talk](Quick_Notes/2021-05-05.md#^22ba3a).