# Spin-cobordisms, surgeries and fermionic modular bootstrap

@inproceedings{Grigoletto2021SpincobordismsSA, title={Spin-cobordisms, surgeries and fermionic modular bootstrap}, author={Andrea Grigoletto and Pavel Putrov}, year={2021} }

We consider general fermionic quantum field theories with a global finite group symmetry G, focusing on the case of 2-dimensions and torus spacetime. The modular transformation properties of the family of partition functions with different backgrounds is determined by the ’t Hooft anomaly of G and fermion parity. For a general possibly non-abelian G we provide a method to determine the modular transformations directly from the bulk 3d invertible topological quantum field theory (iTQFT…

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