---
date: 2022-04-25 09:53
modification date: Monday 25th April 2022 09:53:16
title: "poincare category"
aliases: [poincare category, Hermitian category, "L group", "L theory"]
---

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

---
- Tags: 
	- #todo/untagged
- Refs:
	- Lurie's course <https://www.math.ias.edu/~lurie/287x.html> #resources/full-courses #resources/course-notes 
	- The algebrac theory of cobordism: <https://media.ed.ac.uk/media/The+algebraic+theory+of+cobordism+Talk+1+-+Fabian+Hebestreit/1_q8vyjhvr> #resources/videos 
	- Some videos on L theory <https://www.youtube.com/watch?v=DfNaci8lDXk> #resources/videos 
	- Some more resources here: <https://mathoverflow.net/questions/401633/roadmap-for-l-theory>
	- <https://arxiv.org/pdf/2009.07225.pdf#page=1>
	- For stable infty categories: <https://arxiv.org/pdf/2009.07223.pdf#page=1>
	- Algebraic L theory: <https://www.maths.ed.ac.uk/~v1ranick/books/knot.pdf#page=7>
- Links:
	- [K-theory](Unsorted/K-theory.md)
	- [GW](Unsorted/quadratic%20form.md)

---

# poincare category

![](attachments/Pasted%20image%2020220425095319.png)

![](attachments/Pasted%20image%2020220425102310.png)

## Cobordisms

![](attachments/Pasted%20image%2020220425102447.png)
![](attachments/Pasted%20image%2020220425105527.png)

## L groups

![](attachments/Pasted%20image%2020220425105607.png)

# Hermitian categories

![](attachments/Pasted%20image%2020220425095400.png)