---
date: 2022-04-05 23:42
modification date: Tuesday 5th April 2022 23:42:25
title: "Rokhlin theorem"
aliases: [Rokhlin theorem]
---

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

---
- Tags: 
	- #geomtop 
- Refs:
	- #todo/add-references
- Links:
	- [spin](Unsorted/spin.md)
	- [4-manifold](Unsorted/four%20manifold%20review%20terms.md)

---

# Rokhlin theorem

- Statement: the signature of a 4-dimensional spin manifold is divisible by 16.
- Implied by the [Atiyah-Singer index theorem](Atiyah-Singer%20index%20theorem) in dimension 4.