---
date: 2022-04-22 23:10
modification date: Friday 22nd April 2022 23:10:25
title: "elliptic genera"
aliases: [elliptic genera, elliptic genus]
---

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

---
- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [Jacobi theta](Unsorted/Jacobi%20theta.md)
	- [cobordism](cobordism.md)
	- [Chern classes](Unsorted/Chern%20class.md)

---

# elliptic genera

![](attachments/Pasted%20image%2020220422231027.png)
![](attachments/Pasted%20image%2020220422231050.png)
![](attachments/Pasted%20image%2020220422231208.png)

# Properties

![](attachments/Pasted%20image%2020220422231535.png)

![](attachments/Pasted%20image%2020220422231548.png)


# Singular elliptic genus

Can be defined for [log-terminal pairs](log-terminal%20pairs).

![](attachments/Pasted%20image%2020220422231438.png)

# Orbifold elliptic genus

![](attachments/Pasted%20image%2020220422231644.png)

# Applications

![](attachments/Pasted%20image%2020220422231254.png)