---
date: 2022-02-13 02:19
modification date: Sunday 13th February 2022 02:19:58
title: stringy topology
aliases: [string topology, inertia orbifold, string homology, string K theory]

---

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

---

- Tags: 
	- #todo/untagged
- Refs:
	- <http://web.math.ku.dk/~wahl/Sullivan80.pdf#page=4>
- Links:
	- [orbifold](orbifold.md)
	- [free loop space](Unsorted/loop%20space.md)

---

# string topology
![](attachments/Pasted%20image%2020220213021953.png)

![](attachments/Pasted%20image%2020220213023645.png)

# Inertia orbifold


![](attachments/Pasted%20image%2020220806140636.png)

Why care? When generalizing [Gromov-Witten invariants](Unsorted/Gromov-Witten%20invariants.md) to orbifolds, the evaluation maps take values in inertia orbifolds:

![](attachments/Pasted%20image%2020220806140731.png)

See [quantum cohomology](Unsorted/quantum%20cohomology.md).