Dagger $n$-categories

This paper establishes a coherent definition of dagger $(\infty,n)$-categories using equivariance data and applies this framework to the bordism category $\mathbf{Bord}_{n}^X$ to define fully-local reflection-positive topological quantum field theories as higher dagger functors.

Original authors: Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd, Cameron Krulewski, Lukas Müller, Nivedita, David Penneys, David Reutter, Claudia Scheimbauer, Luuk Stehouwer, Chetan Vuppulury