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math.CT2025
Invertible projective 2-representations from invertible 2d TQFTs with defects
Domenico Fiorenza, Chetan Vuppulury
We investigate invertible projective representations and their 2-categorical analogues using the language of TQFTs with defects. The main result is a freeness property for invertib…
math.CT2025
Projective and anomalous representations of categories and their linearizations
Domenico Fiorenza, Chetan Vuppulury
We invesigate the relation between projective and anomalous representations of categories, and show how to any anomaly one can associate an…
math.CT2024
Dagger -categories
Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd +8
Category theory provides a unified language for organizing composable operations in many disciplines. In disciplines where unitarity is fundamental -- such as functional analysis,…