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Jul 8, 2021 at 22:52 comment added Arun Debray Thank you! Just sent you an email.
Jul 7, 2021 at 14:30 comment added Kevin Walker @ArunDebray Yes, they are invertible. Interesting idea re turning the extension question into a (presumably simpler) question about bordism groups. Feel free to contact me if you want to discuss further.
Jul 6, 2021 at 17:13 comment added Arun Debray This is a great answer; thank you! Is it known whether the 4d spin TFTs associated to fermionic modular tensor categories are invertible, like in the bosonic case? Because if so, I would think that it's possible to check whether these TFTs extend to characteristic-pair TFTs in terms of a question about bordism groups
Jul 6, 2021 at 16:56 vote accept Arun Debray
Jun 29, 2021 at 22:50 history answered Kevin Walker CC BY-SA 4.0