Feza Gürsey Fizik ve Matematik UAM FGC Yüksek Yapılar Seminerleri
A universal property of the higher category of spans and finite gauge theory as an extended $TFT$
Claudia Scheimbauer
Technische Universität München, Almanya
I will explain how to generalize Harpaz’ universal property of the ($\infty$, 1)-category of spans to the higher category thereof. The crucial property is “$m$-semiadditivity”, which generalizes usual semiadditivity of categories. Combining this with the finite path integral construction of Freed-Hopkins-Lurie-Teleman this yields finite gauge theory as a fully extended $TFT$. This is joint work in progress with Tashi Walde.
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