177 citations · 633 across the 31 of their papers we have counts for
6 papers · 1 filter
On the structure of Witt groups and minimal extension conjecture
Theo Johnson-Freyd, Victor Ostrik, Zhiqiang Yu
Let be a Tannakian fusion category. For a braided fusion category over we give sufficient and necessary conditions that char…
On the classification of topological orders
Theo Johnson-Freyd
We axiomatize the extended operators in topological orders (possibly gravitationally anomalous, possibly with degenerate ground states) in terms of monoidal Karoubi-complete -ca…
Condensations in higher categories
Davide Gaiotto, Theo Johnson-Freyd
We present a higher-categorical generalization of the "Karoubi envelope" construction from ordinary category theory, and prove that, like the ordinary Karoubi envelope, our higher…
(Op)lax natural transformations, twisted quantum field theories, and "even higher" Morita categories
Theo Johnson-Freyd, Claudia Scheimbauer
Motivated by the challenge of defining twisted quantum field theories in the context of higher categories, we develop a general framework for lax and oplax transformations and thei…
Reflexivity and dualizability in categorified linear algebra
Martin Brandenburg, Alexandru Chirvasitu, Theo Johnson-Freyd
The "linear dual" of a cocomplete linear category is the category of all cocontinuous linear functors . We study the questions of when a…
The fundamental pro-groupoid of an affine 2-scheme
Alexandru Chirvasitu, Theo Johnson-Freyd
A natural question in the theory of Tannakian categories is: What if you don't remember $\Forget$? Working over an arbitrary commutative ring , we prove that an answer to this q…