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date: 2022-02-07 22:57
modification date: Monday 14th February 2022 09:19:35
title: twist
aliases: [twist]

---

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# arithmetic twist

Slogan: Twists of an object over a field are classified by $H^1$ of its automorphism group over the algebraic closure.
![](attachments/Pasted%20image%2020220214092029.png)
# homotopy twist
![](attachments/Pasted%20image%2020220207225708.png)