---
date: 2022-02-23 18:45
modification date: Wednesday 23rd February 2022 18:45:08
title: Obstruction Theory
aliases: [obstruction, deformation-obstruction theory, obstruction-deformation theory, perfect obstruction theory, obstruction]

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


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- Tags 
	- #motivic/homotopy #higher-algebra/stacks #homotopy/obstruction-theory 
- Refs:
	- #todo/add-references
- Links:
	- [DAG](Unsorted/derived%20algebraic%20geometry.md)
	- [stacks MOC](Unsorted/stacks%20MOC.md)
	- [derived stack](Unsorted/derived%20stacks.md)

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# Perfect obstruction theories

Needed in [Gromov-Witten](Unsorted/Gromov-Witten%20invariants.md) and [Donaldson-Thomas](Unsorted/Donaldson-Thomas%20invariants.md) invariants.
![](attachments/Pasted%20image%2020220516181313.png)
![](attachments/Pasted%20image%2020220319213209.png)
![](attachments/Pasted%20image%2020220319213315.png)