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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
7
votes
1
answer
239
views
An explicit expression for the naturality of the Serre automorphism in the bicategory of alg...
By the cobordism hypothesis, there is an $O(2)$-action on the maximal subgroupoid $\hat{\mathcal{C}}$ of the subcategory of fully dualizable objects in a bicategory $\mathcal{C}$. The $SO(2)$-part of …
1
vote
Accepted
Are dagger-categories / categories with duality related to unoriented field theories?
The answer is yes. More specifically, dagger categories are related to unoriented one-dimensional TQFTs, a perspective I learned from Lukas Müller.
Consider the symmetric monoidal category $Vect_k$ of …