An invertible wannabe functor to a symmetric monoidal 2-category automatically extends to a projective 2-representation, recovering the Clifford/Fock construction over Lagrangian correspondences as a special case.
Three quick recipes with fully extended oriented 2d TQFTs
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abstract
It always happens: you have a talk for dinner and nothing prepared. Your signature dish never fails, but you have served it too many times already and you'd like to surprise your guests with something new. Try these quick, light and colourful reinterpretations of haute cuisine classics, like (nonabelian) Fourier transforms and the Plancherel theorem for finite groups.
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Invertible projective 2-representations from invertible 2d TQFTs with defects
An invertible wannabe functor to a symmetric monoidal 2-category automatically extends to a projective 2-representation, recovering the Clifford/Fock construction over Lagrangian correspondences as a special case.