---
date: 2022-04-05 23:42
modification date: Thursday 12th May 2022 16:51:34
title: "moment map"
aliases: [Hamiltonian action, moment map, symplectic reduction]
---

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

---

- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [GIT quotient](Unsorted/GIT%20quotient.md)
	- [[GLSM]]

---

# Hamiltonian actions and moment maps

![](attachments/Pasted%20image%2020220806160145.png)

![](attachments/Pasted%20image%2020220605115207.png)
![](attachments/Pasted%20image%2020220212022409.png)

Relation to [symplectic quotient](symplectic%20quotient.md) and [GIT quotient](GIT%20quotient):
![](attachments/Pasted%20image%2020220212022652.png)


# Symplectic reduction

![](attachments/Pasted%20image%2020220806160253.png)