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Diagrammatic calculus and 3d state sums with defects

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BIDW03 - The Many Faces of Boundaries, Impurities, and Defects

We show how a diagrammatic calculus for spherical fusion categories, bimodule categories with bimodule traces and bimodule functors and bimodule natural transformations can be used to define state sum invariants for 3-manifolds with defects that generalise the usual Turaev-Viro-Barrett-Westbury state sum invariants of 3-manifolds.Reference:C. Meusburger, State sum models with defects based on spherical fusion categories, Advances in Mathematics, 429, 109177, arXiv:2205.06874  

 

 

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