---
date: 2022-04-05 23:42
modification date: Friday 8th April 2022 00:56:21
title: "gauge theory"
aliases: [gauge]
---

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

---

- Tags: 
	- #todo/untagged
- Refs:
	- Joyce-Tanaka-Upmeier on coherent orientations of gauge moduli spaces: <https://arxiv.org/pdf/1811.01096.pdf#page=1>
	- Video lectures on particle physics: <https://www.youtube.com/watch?v=d1zaw-KZX1o&list=PL93B3DDC89C085C1C&index=1> #resources/videos 
- Links:
	- [Casson invariant](Unsorted/Casson%20invariant.md) for [three manifolds](three%20manifolds)
	- [Donaldson invariant](Donaldson%20invariant) for [four manifolds](Unsorted/four%20manifold%20review%20terms.md)
	- [Seiberg-Witten invariants](Seiberg-Witten%20invariants) for [four manifolds](Unsorted/four%20manifold%20review%20terms.md)
	- [topological stack](Unsorted/topological%20stack.md)
	- [vortex equation](vortex%20equation.md)
	- [derived manifold](derived%20manifold)
	- [instanton](instanton.md)
	- Types:
		- [Casson invariant](Unsorted/Casson%20invariant.md)
		- [ASD](Unsorted/anti%20self%20dual.md)
		- [Seiberg-Witten](Unsorted/Seiberg-Witten%20theory.md)
		- [Vafa-Witten](Vafa-Witten.md)
		- [Kapustin-Witten](Kapustin-Witten.md)
		- [Haydys-Witten](Haydys-Witten.md)
		- [Donaldson-Thomas invariants](Donaldson-Thomas%20invariants)
	- [orientations of moduli spaces](orientations%20of%20moduli%20spaces.md)
	- [moduli space of connections](moduli%20space%20of%20connections.md)

---

# gauge theory

![](attachments/Pasted%20image%2020220503131844.png)
![attachments/Pasted image 20210613123442.png](attachments/Pasted%20image%2020210613123442.png)

# Gauge transformations

![](attachments/Pasted%20image%2020220221005742.png)

![](attachments/Pasted%20image%2020220408005621.png)

# Proposed invariants

See manifolds with [G2 holonomy](G2%20holonomy).
![](attachments/Pasted%20image%2020220502175851.png)