---
date: 2022-04-05 23:42
modification date: Wednesday 13th April 2022 21:00:02
title: "framed"
aliases: [framed, "framing", "parallelizable"]
---

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

---
- Tags: 
	- #todo/untagged
- Refs:
	- Recommendations from Akram: Milnor-Stasheff p.148 12-b and Section 12
- Links:
	- [parallelizable spheres](Unsorted/parallelizable%20spheres.md)
	- [cobordism](Unsorted/cobordism.md)
	- [TQFT](Unsorted/TQFT.md)
	- [cobordism hypothesis](Unsorted/cobordism%20hypothesis.md)

---

# framings

![](attachments/Pasted%20image%2020220413210000.png)

# Parallelizability

:::{.definition title="parallelizable"}
If the tangent bundle of a manifold is trivial, the manifold is said to be **parallelizable**.
:::

- Parallelizable/framed: a trivialization of the [tangent bundle](tangent%20bundle.md).
- Equivalently, a global section of the frame bundle.