---
date: 2022-03-18 12:34
modification date: Friday 18th March 2022 12:34:20
title: mapping class group
aliases: [mapping class group, Dehn twist]

---


---

- Tags 
	- #geomtop/geometric-topology
- Refs:
	- #todo/add-references
- Links:
	- [open book decomposition](Unsorted/open%20book%20decomposition.md)

---

# mapping class group

![](attachments/Pasted%20image%2020220318123424.png)
![](attachments/Pasted%20image%2020220318123435.png)

# Classification

![](attachments/Pasted%20image%2020220318123710.png)
![](attachments/Pasted%20image%2020220318123741.png)

# Symplectic Dehn twists

![](attachments/Pasted%20image%2020220429191838.png)
![](attachments/Pasted%20image%2020220429191848.png)

![](attachments/Pasted%20image%2020220806174403.png)