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What is a Topological Twist?

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I have come across topological twists on numerous occasions but I have never actually seen them explained in an understandable way. So, I was wondering

What does it physically mean to topologically twist a theory?
What does it mathematically mean to topologically twist a theory?
What is the motivation for talking about topological twists?

asked Jun 12, 2020 in Theoretical Physics by anonymous [ no revision ]

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