---
date: 2022-04-08 20:17
modification date: Friday 8th April 2022 20:17:55
title: "Cohomology of loop spaces of spheres"
aliases: [Cohomology of loop spaces of spheres]
---

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

---
- Tags: 
	- #examples/explicit-computations 
- Refs:
	- <https://people.math.wisc.edu/~maxim/spseq.pdf#page=14>
- Links:
	- [Serre spectral sequence](Unsorted/Serre%20spectral%20sequence.md)
	- [Path Loop Fibration](To%20Review/Path%20Loop%20Fibration.md)

---

# Cohomology of loop spaces of spheres

![](attachments/Pasted%20image%2020220408201806.png)
![](attachments/Pasted%20image%2020220408201812.png)
![](attachments/Pasted%20image%2020220408201821.png)
![](attachments/Pasted%20image%2020220408201831.png)
![](attachments/Pasted%20image%2020220408201843.png)

![](attachments/Pasted%20image%2020220422204346.png)