Apparaît dans la collection : 2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures
Based on a graphical calculus for pivotal bicategories, we develop a string-net construction of a modular functor. We show that a rigid separable Frobenius functor between strictly pivotal bicategories induces a linear map between the corresponding bicategorical string-net spaces that is compatible with the mapping class group actions and with sewing. This result implies that correlators of two-dimensional conformal field theories factorize over string-net spaces constructed from defect data.
De Dimitry Gurevich
De Jorgen Ellegaard Andersen
De Viviane Pons
De Viviane Pons
De Olivier Benoist
