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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 …
Luuk Stehouwer's user avatar
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 …
Luuk Stehouwer's user avatar